Hand 1: I call again. I think if you want to raise, you need to do it on the flop (info). As played, I don't think a raise will buy you anything at this point. He calls if he's ahead (maybe also from behind with an A), folds with air. I probably would have raised the flop, but if I do call, I'm just going to call him down. There's really no draw here.

Hand 2: At this point I push. The pot is too big and his bet is too small. Ok, so he can fold QQ or JJ or whatever and call with a lot of winners. I guess you can also call and call/push again on the river, which from EV standpoint might actually look better. I really view the push as just adjusting the bet-size, though, and all-in for him is less than pot.