This is one of those trap hands you should avoid (even more in early position). When you play this one you are really only playing to make 2 pair or better (without the board pairing). You really need to see the flop cheaply and flop 2 pair+ or a pair and a flush draw. Also, two pair with a low card like 2 or 3 is always vulnerable to being counterfeited if the board pairs. Preflop, it's a fold. You end up flopping a pair, but you are OOP and ANY other ace beats you so it should be check/fold or check/call if it's a small bet. Once you lead out on the flop and get raised, it's 50/50 on calling or folding. Odds
aren't terrible to continue, but we are OOP so I might lean towards a fold.
The turn is where this one got a bit crazy. You turn a third ace, but your strength vs villains possible holdings doesn't actually improve. If he was drawing, you are still ahead and he lost a couple outs, If he has an ace, you are still behind. Now, if villain has a Ax hearts he just picked up a flush draw too. If villain has 33, 77, A3, A7, or any A4 - AK, the ace on the turn just about crushed you. Since the villain has been showing strength the whole time your goal should shift to getting to showdown as cheap as possible. Once villain leads the turn, you should only call if you want to continue, but not raise. Even if you put him on a flush draw, I would call and see the river. Your check raise wasn't enough to push me off of a FD anyway. After your check raise the villain was still getting about 4.5 to 1 pot odds
. This hand just turned out to be an awful trap hand with a small Ax. Cut the cord as early as possible. Preflop or certainly once you don't get a really good flop. Good Luck.