Could I have played this better?

[FlopTurnThenRivered]

PokerStars No-Limit Hold'em, $0.10 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP1 ($11.95)
MP2 ($20.80)
MP3 ($9.20)
CO ($1.40)
Hero ($10.15)
SB ($13.95)
BB ($12.65)
UTG ($8.85)
UTG+1 ($15.30)

Preflop: Hero is Button with 3, A.
3 folds, MP2 raises to $0.4, 2 folds, Hero calls $0.40, 2 folds.

Flop: ($0.95) 2, Q, 5 (2 players)
MP2 bets $0.5, Hero raises to $1.3, MP2 raises to $3.2, Hero calls $1.90.

Turn: ($7.35) J (2 players)
MP2 bets $8.7, Hero folds.

Final Pot: $16.05

I thought about pushing after his raise on the flop.. is this the play I should have made? Was there a better line I could have taken?

[Miffed22001]

tough call.
His three bet suggets he isnt going to fold if you push, so you have to put him on a set probably.
Saying that id have pushed anyway.
He could also have KQs i guess.

[FlopTurnThenRivered]

I put him on QQ.. I really wanted to push but opted for the call. He probably would've called anyways and it'd be a toss up. Couldn't really call the all in bet on the turn, but pushing on the turn has fold equity..

[FlopTurnThenRivered]

I wish I'd have pushed...

[Miffed22001]

32% dog on the flop vs QQ
22% on the turn.

If youd raised more on the flop i think youd have been commited on the turn anyways with teh amount you had left behind, its close though.

[FlopTurnThenRivered]

Say he had KK though, which is very possible. A push on the flop and he probably folds... He was a pretty good player, and could lay down hands. I figure he knew I didn't have a set because I didn't push on the flop, so he coudl've been putting me on AQ (If he had KK..)

Though I suppose in this situation, if I did have a set and he had KK it would've been a good line to take to just call the 3 bet like I did.

By the way, Miffed, what do you think about my call with A3s here? I have position.. and if I don't hit a nice flop I can lay it down in a heartbeat. But say he has AK and I hit two pair, I could potentially stack him, or at least win a nice pot. Thoughts?