Croco, the first...
Make sure you're at least at level 3 before taking on Croco if you don't want to either a) die or b) use up ALL your chuffin' healing items.  The Fire Orb is invaluable in this particular struggle.  Mallow's not very effective against Croco, so use the little puffball's turn to use items like Mushrooms and Honey Syrups. If your FP and HP are good, i.e. you have no need to be using any items, Mallow should hunker down in defense mode. Take heart, my children.  Once Croco has utilized his Weird Mushroom, he's almost beat!