Let this go?

There's a lot of limping going on so I figure to take a peek with a marginal hand. Thing is playing stuff like this I have to know when to let them go or I'm going to get burned a lot.

PokerStars No-Limit Hold'em, $0.10 BB (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG+1 ($10.10)
MP1 ($1.80)
Hero ($9.80)
CO ($4.40)
Button ($16.30)
SB ($8.65)
BB ($3.90)
UTG ($12.55)

Preflop: Hero is MP2 with 4, 3.
UTG calls $0.10, UTG+1 calls $0.10, 1 fold, Hero calls $0.10, 1 fold, Button calls $0.10, SB completes, BB checks.

Flop: ($0.60) 3, 4, 9 (6 players)
SB checks, BB checks, UTG checks, UTG+1 checks, Hero bets $0.45, Button folds, SB folds, BB calls $0.45, UTG calls $0.45, UTG+1 folds.

Turn: ($1.95) 7 (3 players)
BB checks, UTG checks, Hero bets $1.2, BB raises to $3.35, UTG folds, Hero ???

Anything re-raising that I beat? I should fold right? Also should I bet more on flop or turn? Thanks

Could be 56 or better 2-pair since he's from BB. I'll fold this and wait for a better spot unless your read on villain is that he's a chip-spewing donk.

You could have bet pot instead of 3/4 pot but at this limit people will pay pocket change to chase obscure draws so I say that the extra $0.15 won't make a difference.