These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Fafner in the Azure: Dead Aggressor
Angst? What Angst?: Soushi invoked this trope in the second episode when his father died. That plus how abrupt the scene was made this troper do a double take to make sure his father really was gone.
...or not given that not only does Maya repeatedly state that she is not the one Kazuki wants, but also that the series develops more and more towards Kazuki and Soushi as a potential item...
Oh, and then there is the movie.
Not to mention the drama CDs where they had these two brood over their feelings for each other.
Basically, the only thing keeping them from being "official" official is that it hasn't been explicitly stated (Maya's above comment notwithstanding). It's all there on the screen, it's just lacking the words.
What Do You Mean, It's Not Symbolic?: Tatsumiya Island uses a lot of Norse mythology for its suit and weapons nomenclature, including the eponymous Fafner, Lindwurm, Fenrir, and Garm, but it's also perfectly willing to borrow from Greek (Medusa, Aegis, Titan), French (Durandal), and Hebrew (Solomon). The UN variants are named for the Greek words Megatherion (Great beast) and Gnosis (revealed knowledge), and the city of Babylon. The Festum cores are named Mir (Russian for peace/world).