I like all three ideas regarding the source of his power, and it's definitely the kind of game where those details can emerge or get refined through play. I'll run with whatever option you choose.
Quote:
Maybe the society is linked to the government organization that studied Light's character or trained Bowl's?
Seems a stretch / a bridge too far, but I could be convinced.
What's in a Name?
These are modern times, so the Golden / Silver Age names won't be a great fit unless you're calling back to those eras -- say because you've been around that long! In a long-running supers campaign I have, some NPCs changed their names throughout the decades to stay current / relevant.
And now I see that you're going with
Brainstorm. Sounds good!
Looks like you grabbed the damage values for your Psychic Energy Blast -- cool. You can also add a line for Unarmed, as unlikely as that seems.
[ +- ] Hand to Hand Damage