First hand: I don't mind the limp here on the button. On the flop, the CO bet looks like a medium pocket pair (55-99), or else a couple of overcards, possibly KJ or KQ or QJ. If he has any of these and they aren't hearts, you should be able to push him off the hand. If he has 2 overcards and a flush draw his large bet doesn't make sense because he wouldn't want to lose all of his customers with a huge draw like this. I think a push is your best bet here.
Hand 2: I don't like the pre-flop call with A-J. Unless you are positive that you can outplay your opponent post-flop, i think you should have folded here pre-flop. His bet on the flop looks like a standard continuation bet, so you may be able to push him off the hand with a raise, but if he comes back over the top, you're in a ton of trouble.