What is the sample size on villain's stats?
Preflop: i don't like open limping ever. open-raise your pocket pairs.
Flop: meh, against a 7/2 floating is just spew.
Turn: not really a good card to fire with. you're certainly not folding any overpair and bet sizing (half pot) is so small that i suspect even AK may stay in the hand.
River: With the A on board, there's exactly 0% of villain's range that you beat. So you can only win the hand by bluffing
. The problem is that an A makes no sense in your hand given previous action, and the only hand you are credibly representing is 22. So if villain was good, he'd call your bluff a lot even with a pocket pair above yours.
Of course, a 7/2 is certainly not a good thinking player, so it may be ok. But really, you'd make your life a lot easier by giving up on flop.