Hand 1: I play it the same way.

Hand 2: I think Villain has a King or a Queen. If he's LAA, then I he's not just calling preflop w/ AK or AQ, so that tells me that your Ace is good for 3 outs, and your Gutshot for another 4, so 7 outs so I think you are getting the odds for a turn call, and I also agree w/ the fold, I think you're beat.

Hand 3: I actually probably check behind on the river here. UTG+1 had to have been limping w/ either suited Hearts or connectors and drawing to a flush/straight. That 7 card concerns me because it's coordinated w/ the rest of the board and could easily have been the card he's lacking for a straight. Given the aggressiveness that's been shown so far, if he did hit his hand, he would be correct to c/r on the river. (Good for us, he ended up folding---Maybe he had Ah2h? or something like that?0