u/NaughtyNeo13

So I'm new to these games, I slogged through 1 without bothering to learn much of the intricacies but im really loving 2 and I'm now realising there's a bit a I don't know. My main question is can I fight boss rematches multiple times. I just fought Airman V3 and my reward was only 500 zenny which I assume is due to my low ranking (another system I dont exactly understand), what i want to know is, am I now locked out of getting the Airman V3 battle chip?