Do you bet turn in this situation?

Party Poker 10/20 Hold'em (6 max, 5 handed) FTR converter on zerodivide.cx

Preflop: Hero is UTG with 5[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises</font>, MP calls, Button calls, SB calls, BB calls.

Flop: (10 SB) 5[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">MP raises</font>, Button calls, SB folds, BB calls, Hero calls.

Turn: (9 BB) 5[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, Hero checks, MP checks, Button checks.

River: (9 BB) 4[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, MP folds, Button folds, <font color="#CC3333">BB 3-bets</font>, <font color="#CC3333">Hero caps</font>, BB calls.

Final Pot: 17 BB