Thanks.

So, I could level up as little as possible, and just gain ap for my gf's abilities. But in order to draw higher level magic like firaga and blizzaga, I have to fight higher level bosses, and hence have to level up to a certain level, right? Or is possible to draw firaga, thundaga, etc from lower level bosses?

And what about getting ap without exp? do I have to keep carding and refining everything to do that?