Adding on to that, Poe saw a bit of himself in Kaz. Commplicated relationship with his father, fearless pilot who wants out of his monotomous life. Poe doesn't want Kaz to make the same mistakes he made after running away from home and joining the Spice Runners of Kijimi, so he recruited Kaz into the Resistance.
Given that Cardinal has been established as being the only red-armored soldier in the First Order, why does Vonreg also have red armor, when he could just have easily had armor of a different color? Cardinal has already left the Order at this point, and it's more than likely that Phasma would enjoy disrespecting his legacy by bestowing red armor upon a steadfast First Order loyalist.
Kaz wonders if Hallion, a Neimodian, is a spy for the First Order. Given that Kaz and his family are from the Core Worlds and have probably never seen the Clone Wars that close to Hosnian Prime, Kaz might hold some Fantastic Racism due to propaganda and stigma.
Torra's reacting rather lightly towards Kaz when she mistakes him for trying to sneak into her room to meet her late at night makes sense considering that due to her sheltered upbringing, she doesn't realize how bad this is even if this was the case or how her father may react if a boy her age (or five years older than she, that is) is trying to see her, since she warns Kaz about her father more because he's trespassing rather than because her father won't like his daughter and some boy being lovey-dovey.
Not to mention that Torra caressing Kaz's face weirds Kaz out, considering you'd least expect that kind of stuff from a teen who acts so young like Torra. Who's to say she isn't trying to copy what she's seen people on the holos do?
In the first episode, Kaz makes or gets close to making several bullseyes. Well, yeah, as someone enlisted in the military as well as a starfighter pilot, of course he'd have to have good aim.
Kaz appears to have little combat and athletic prowess, despite having military training. Remember that it was his privilege that got him this far; it's stated in the first episode that his father had to help him get into the naval academy.
It's also implied that the New Republic is rather lax when it comes to military training, which further proves that the New Republic's complacency and lack of foresight for self-defense.
In "The Platform Classic", Kaz is the only one of Team Fireball who knows about the rumours that Marcus Speedstar is competing in the titular race. Well of course he does, since he's a spy, listening to rumours is his job, and he's shown more aptitude for doing that then mechanical work anyway.
With The Reveal that Captain Doza is ex-Imperial, this has been foreshadowed: the way he dresses greatly resembles an Imperial officer's uniform, his Old Soldier yet clean appearance (with the typical mustache) resembles other Imperial officers, such as Yularen, Konstantine, and Skerris, and his manner is professional and detached yet courteous just as an Imperial officer may be.
Since Captain Doza is ex-Imperial, it would help explain his apparent ties to the criminal underworld that are supposedly so bad that it would warrant New Republic investigation and possible intervention, considering the Empire had a habit of working with or turning a blindeye from the criminal underworld.
Besides possibly being busy with tasks involving Starkiller Base, there's probably another reason why Vonreg hasn't been sent back to the Colossus. Given that the last time Vonreg went to the Colossus, he had his men fire on a (supposedly) innocent citizen during a meeting with Captain Doza, which he wasn't pleased to hear, so of course, the First Order starts sending Pyre instead. This is even stated in "The Children from Tehar", where Doza tells Phasma that he doesn't want her men causing trouble on the platform like last time, so she sends Pyre instead.
Captain Doza is tolerant of letting Griff, a former Imperial pilot who clearly misses the Empire, stick around on the Colossus as one of his Aces, because as a former Imperial Navy officer himself, he's familiar with Imperial pilots like Griff. Confirmed and elaborated on in "The New World", where it turns out Doza used to be his boss in the Empire.
In "The Recruit", Poe mentions that the Colossus is a super tanker refuelling depot built by the Empire, and one of the last such remaining. Captain Doza's past as an Imperial officer would explain how, exactly, he gained control of the platform.
Yeager has promised Tam the Fireball, but Kaz is the character who winds up piloting it regularly. Why? Well, besides him being the main character...
Tam is extremely protective of the ship, and is shown to be unhappy when the Fireball needs to be flown when she thinks it's not ready to fly. At the moment, she doesn't consider the ship repaired up to her standards.
As with all other racing ships in the show, the Fireball can also double as a starfighter. Given that there's a war about to break out, the ship won't be doing much racing in the near future. As far as we know, Tam has no skills or training in starfighter combat, and since we haven't actually seen her fly we don't know how good she is. Kaz, on the other hand, is fairly talented and actually does have combat training and experience, making him the better choice of pilot in these situations.
Finally, Tam allies herself with the First Order, making her unavailable to pilot anything (at least, for the heroes' side).
How is Tam and her family (it is confirmed by Word of God that they also believe the Empire is good) so ignorant of all the bad the Empire has done, like blowing up Alderaan with a planetary superweapon? They're from Kuat, a Core World that was strongly under Imperial control. The Core Worlds were mostly left untouched by the rebels and the Galactic Civil War, except for some attempted rebel assaults and other attacks (like the bombing that killed Gideon Hask's family) that certainly wouldn't paint a good image of them to the locals. And you can be sure that the Empire would keep information like the Death Star and the destruction of Alderaan under hush-hush, thanks to their tight grasp on Kuat.
A bit of Fridge Sadness here: In "The Engineer", what makes Tam's lack of mention notable as opposed to other major characters who aren't mentioned? Neeku is referring to people he spent (or would have spent) quality time with, and long enough to consider them friends. Yeager and Captain Doza don't count because to him they're his bosses. He doesn't mention Torra because he mentioned Buggles, so her being a friend goes without saying. Synara isn't mentioned because he didn't spend enough time with her. Now that leaves Tam. Tam is definitely someone has spent enough time with to consider a friend, and is surely someone who was in his friend group. But since Tam made her choice to join the First Order, Neeku has very much decided Tam is dead to him and thus not worth any mention.
Why are First Order personnel unable to navigate the Titan? The Titan is said to have the same layout as the Colossus, meaning it is also an Imperial supertanker fuel depot re-purposed for the First Order. The quality of First Order space stations and capital ships are an improvement of that from the Galactic Empire Era, but since they don't have enough resources to construct new fueling depots, they have to resort to acquiring old Imperial fueling depots.
Synara's colors are purple-pink, turquoise, and blue, while Nena's colors are yellow, turquoise, and blue. They share two of those colors, and their third colors are complementary colors. It fits well considering Synara and Nena are foils.
Something emphasized as the Skywalker Saga goes on is that outside of the Force, the story is about civilians being caught up in something greater and fighting to defend the people they care about, best shown in The Rise of Skywalker when The Cavalry finally shows up and... "it's just people". As Kaz puts it in the Season 1 finale, "We are the Resistance now.". That's why the title of the show isn't simply the isolated Star Wars Colossus, but Star Wars Resistance.
Kaz's grief over what happened to his home system seems to have been dropped after he finds out his parents survived, though this should be compared to Leia's experience after Alderaan blew up:
The only people Leia had were three men she just met and the military leaders who are her coworkers, whereas Kaz is surrounded by two fatherly mentors and kids his age.
Additionally, Leia has to serve as an example to the Rebellion, whereas Kaz didn't have that kind of pressure.
Neither Leia nor Kaz can dwell too much on their grief because in both of their experiences, people need them.
Kaz seems to spend more time thinking about Tam than the destruction of his home planet and everyone he knew, which may seem odd, except he knows there was nothing he could do to save Hosnian Prime. He thinks about his mistakes with Tam and wanting to bring her back because he believes that their friendship the one thing he can salvage from all of his loss.
Kaz is a clumsy mechanic who easily breaks things. Not just ships and gadgets, but also his relationship with Tam, which he breaks after insensitively failing to be a good friend to her throughout Season 1, and he tries to fix it throughout Season 2 now that he knows what he broke.
It would seem odd for B1 to be able to control the Super Battle Droids Gorr brought onto the Colossus. Except if you look at him, it appears that B1 could have been made from pieces of various battle droids - including possibly a few OOM command droids. This could also be why Sidon Ithano included B1 in the B2 package - he was programmed and intended to be the local commander of the droids when Gorr got them.
Tam is starting to have second thoughts about joining the First Order, so if Tam ever attempts to come back to the Colossus, it's not going to be a happy reunion. If anything, she'll be crossing a bridge she burnt with her former friends. Kaz and Neeku have very much Unpersoned her after the last incident on D'Qar, and Synara, who was very vehement that Tam cannot be trusted, would defintely not accept her back.
Kylo Ren had a sudden interest in a powerful Sith Relic in "The Relic Raiders", which is not within Ren's character because he made it clear he doesn't really care much for anything Sith-related. However, there might be something more sinister this; Palpatine revealed in The Rise of Skywalker that he influenced him into doing his bidding without making himself known, and he very likely influenced Kylo's subconscious into obtaining the Sith Relic so that he could use it for the Sith Armada later.
