Okay, it's an adept.
So, first, I don't really understand why you need an magical tradition. As far as I know, you spend your 6 power points, so you're not making a mystic adept, so the tradition doesn't matter. But why not.
Then, I'd say you may take a martial art, with the maneuver which allows you to make a quickdraw with any weapon.
Now, really, for a fighter, he is weak, I think you spend too much in the improved reflex.
Don't forget the edge : among other uses, edge allows you to act before anyone else in fighting, and even to get more IP.
Shouldn't this thread be moved in the character's forum ?