Hand 1:
If he's drawing here, it's probably a combo draw (FD on the flop, turned a str8 draw). It's a situation where if you're ahead you're not ahead by much and if you're behind you're lucky to have 2 outs, but you're probably drawing dead. I think I muck the turn here.

Hand 2: When he min-raises the turn you have to decide whether you're going all the way or not. you don't have anything worth drawing to, so if you think you're good you push and if you don't you fold. I like the push here.