I don't know anything about villain

Full Tilt Pot-Limit Omaha, $0.02 BB (7 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

MP1 ($0.46)
MP2 ($1.96)
Hero (CO) ($4.25)
Button ($1.42)
SB ($4.83)
BB ($1.97)
UTG ($1.71)

Preflop: Hero is CO with A , 10 , K , 3
3 folds, Hero bets $0.07, Button calls $0.07, SB calls $0.06, 1 fold

Flop: ($0.23) J , 3 , K (3 players)
SB checks, Hero bets $0.18, Button calls $0.18, 1 fold

Turn: ($0.59) 9 (2 players)

HERO??

Check/ call turn. Push river if you hit your hand or the board pairs.

agree. don't keep betting we are pushing too hard then