Cowboy Cop: Though oddly enough, Da Chief is still cowboy enough himself to rather appreciate it. Though as far as Terra Nova and Taylor is concerned, he's basically the -only- cop in town. Everyone else is technically part of the security force.
A great example happens in the finale. Josh has gotten himself into trouble protecting Skye from Lucas, and is currently being beaten by Phoenix soldiers. Skye tells Jim. Cut to a few minutes later, where Jim brains Lucas with a cane and beats the crap out of every soldier that tries to restrain him. They had to hold him at gunpoint to end it.
Rags to Riches: Sort of. Jim goes from being an escape convict in the first episode to pretty much Taylor's right hand man and at one point temporary Commanding Officer of Terra Nova.
Troll: Though he clearly doesn't have a problem with Reynolds dating his daughter, he seems to enjoy messing with Reynolds since he's always so serious.
Hot Scientist: Though she dresses reasonably, is married, and has children.
Mama Bear: Up until the season finale, she's simply an amazing mother, a brilliant scientist and an incredibly-gifted doctor. But when her son and husband are captured and tortured, she takes merely thirty seconds to out-badass almost every other character to appear in the first season. And how.
Played By: Landon Liboiron
Distracted by the Sexy: Generally, if Skye is going somewhere or doing something, you can bet he's easily persuaded into going along.
Dark and Troubled Past: Mind Raped by Somalian and Russo-Chinese terrorists not the worst thing he went through before signing up for the Terra Nova project, and there are still lots of folks on the other side who are out for his blood. This includes his own son who has hated him ever since he failed to save his mother in Somalia when he was a teenager.
Sympathetic Murder Backstory: Taylor killed his commanding officer when he arrived in alternate past earth to relieve him of command of the Terra Nova colony shortly after he learned the truth about the project. That those behind Terra Nova are trying to find out how to make the portal go both ways so they can exploit the resources on the Terra Nova side.
Well-Intentioned Extremist: It's becoming clearer as the series progresses that will do just about anything to protect his vision of Terra Nova's future. Including killing his friend and former commander. Although it was self defense. And they were trying to loot Terra Nova too so...
He did volunteer to take over guard duty for the Shannons' house when the pterodactyls were swarming the colony. He got knocked unconscious for his efforts, but he was certainly more competent at it than the three Shannon siblings at any rate.
The Mole: To a limited extent. He does business with the Sixers, but it's clear there's someone else in the camp that's actively betraying the colony.
Noodle Incident: At least to anyone that isn't Boylan, Taylor, or Jim, why Taylor tolerates Boylan (and conversely, why Boylan is ultimately loyal to Terra Nova and will help Taylor). Ironically, said Noodle Incident is also seemingly responsible for his current state as Taylor had to bribe him to prevent him from being a good soldier and reporting Taylor's murder.
Brother-Sister Incest: Okay, so Skye may not technically be blood-related, but Lucas takes her treatment of his father as a father-figure as being enough to make them brother and sister. And then proceeds to come on to her in an extremely creepy fashion.
Freudian Excuse: The reason he hates his father so much is because he failed to save his mother in Somalia when he was fourteen years old. The finale reveals that they were captured by rebels and Taylor had to choose between them to decide who lived. He picked Lucas. Lucas not only believes he should have died, but that Taylor blames him for it.
Too Kinky to Torture: Skye considers trying to beat the ignition code for a vehicle out of Lucas, but believes he would enjoy it.
Villainous Incest: Towards Skye. They're not actually related (Taylor is a father figure to her rather than her actual father), but he refers to her as a sister nonetheless. This doesn't stop him from constantly touching her affectionately flirting with her.
"Well Done, Son" Guy: In the season finale, it was revealed that Somalia was, in Lucas' mind, simply the last straw in what had been a childhood/early adolescence where he was on the receiving in of his father's disappointment/disapproval. Considering what a total brat he is, one should take this with a grain of salt.