hand 1, clearly play 2 street poker, not push fold mode yet. Very interesting HU hand though.

He raised, you reraise, he called in position, that gives you good info right there on the flop. How can you effectively play out of position in a pot that is approximately equal to your remaining stack on the flop? Your opponent knows your post flop options and thats why he only called preflop - you have two options open push with the inferior hand, or check/fold your good starting hand. Either way you are owned. After a reraise with those chip stacks/pot size, almost every hand will push or fold preflop rather than call, except for hands that are very likely to still be ahead post flop.

So you got to the 2nd street and he's already told you preflop something about his hand - he's most likely got a pocket pair, possibly a really strong pocket pair, or AJ+. It's not impossible that he's playing it completely bonkers with some mid range rags too. On the flop, you know when he calls that you're going to be oop and at best can restrict his odds to 2:1 if you open push. What range of hands do you beat on that flop given his preflop range for raise/calling? How would you play AA here? Would you open push with that monster pot, or check to the action man?

He gave you the luxury of seeing the flop with the risk of you hitting, but now with no A or J on board, you're in a world of hurt vs any pocket pair. 2nd street of this 2 street game to me pretty clearly says check/fold.