Hand 1: Meh, flop check is obviously fine. Turn c/r is meh. I'd probably just lead, although you may have gotten more money out of him by doing what you did, ALTHOUGH, he may have raised your turn bet, which would have allowed you to get even more of your stack in before the river. At which point you probably could have gotten it all in.

Hand 2: Once he minraises your turn, I'd be a little leery. Here's a tip that will save you a TON of money at 10nl: PEOPLE MINRAISE WITH THE NUTS/VIRTUAL NUTS ALL THE TIME! This is seriously so rarely a bluff, that I fold TPTK, top and bottom pair, etc. I mean, I need to have a decently big hand to continue. Which sounds ridiculous, but trust me.

I mean, you still have a solid hand, so I would probably flat the raise, c/c a small-medium size bet on the river. If he bets like 3/4 pot or something I probably gtfo out though.