I have some questions on FFTA, could someone good at games plz help me out? ^_^

1) in many of the battles I want to go into there's a law forbiding 'Dmg2 : Animal'.Every move my people make results in a yellow card!!! What can I possibly do to kill the beasts?
2) when I have a hunter and I'm trying to catch a beast, I will try to capture it on one round, then try to capture t on the next, when its HP is lower (and yes I don't try to catch bosses/the last monster standing). Is it indeed possible to catch a monster once you've already tried?