2+2 hand ... am I a big wiener?

[cold_cash]

I know what I was thinking during this hand, but I'm not positive my thought process was correct. What would you do?

Party Poker 0.50/1 Hold'em (10 handed)

Preflop: cold_cash is MP1 with J[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/club.gif[/img].
<font color="666666">3 folds</font>, <font color="CC3333">cold_cash raises</font>, <font color="666666">4 folds</font>, <font color="CC3333">SB <font color="purple">(Chris_Daddy)</font> 3-bets</font>, <font color="666666">1 fold</font>, cold_cash calls.

Flop: (7 SB) 7[img]/images/graemlins/spade.gif[/img], 8[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/club.gif[/img] <font color="blue">(2 players)</font>
<font color="CC3333">Chris_Daddy bets</font>, cold_cash calls.

Turn: (4.50 BB) 9[img]/images/graemlins/spade.gif[/img] <font color="blue">(2 players)</font>
<font color="CC3333">Chris_Daddy bets</font>, cold_cash calls.

River: (6.50 BB) 4[img]/images/graemlins/club.gif[/img] <font color="blue">(2 players)</font>
<font color="CC3333">Chris_Daddy bets</font>, cold_cash calls.

Final Pot: 8.50 BB
<font color="green">Main Pot: 8.50 BB, between Chris_Daddy and cold_cash.</font>

(I was planning to bet the river if he checked it to me.)