Knowing your villain and reads is so important and will completely change the way you play those hands. Generally speaking for hand #1, I don't have a problem with how it played out. I might have just called the turn to keep villain guessing and to keep the pot smaller, but raising like you did is good, too because you have fold equity and get a better idea where you stand. The turn check, check is fine and you can't fold the river - the only question is if you should raise on the river and if you don't really have a good idea of what he has, I think calling is better than raising. The pot is plenty big enough and at that point this is the classic medium strength hand that has no value betting power or bluffing power.

Hand #2, with no reads I fold. People @ these stakes love to shove with Aces, Kings, and AK - sure, you could push a small edge if it was AK, but you're taking the worst of it if against a higher pocket pair. If you have a villain who has been playing more than 40% of hands and has shown down pushing with small pocket pair, suited connectors, or other rags, then obviously you call. I would have probably just called the bet and saw a flop, the big re-raise can encourage a shove, which is fine if you have a read and either want or are at least prepared to call it, but in this case, it seems like you weren't.