River question

[TarHeel100]

I'd like to see if I'm wussing out by not betting this river or if the check behind is correct.

PokerStars 0.05/0.10 Hold'em (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is MP with J[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/heart.gif[/img].
<font color="#CC3333">UTG raises</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">3 folds</font>, BB calls, UTG calls.

Flop: (9.40 SB) 5[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">UTG bets</font>, <font color="#CC3333">Hero raises</font>, BB calls, UTG calls.

Turn: (7.70 BB) A[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, UTG checks, <font color="#CC3333">Hero bets</font>, BB folds, UTG calls.

River: (9.70 BB) 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
UTG checks, Hero checks.