KQ top top OOP on a draw heavy board 20NL

[dying2win]

villain is running at 23.5/8.3

i expect him to call the river with most jacks which is what i put him on. im pretty sure he would raise with a queen or a big draw on the flop.

he used his half his time bank on the turn to call me
and did the same on the river

i definatly messed this hand up somewhere but im not sure where. I bet the turn to fold out draws obv. If we check the river and he shoves do we call?

Prima Network No-Limit Hold'em, $0.20 BB (6 handed) Hand History converter Courtesy of PokerZion.com

saw flop|<font color="#C00000">saw showdown</font>

Button ($21.78)
SB ($37.87)
BB ($6.60)
<font color="#C00000">Hero ($29.45)</font>
MP ($4.50)
<font color="#C00000">CO ($27.65)</font>

Preflop: Hero is UTG with K[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">Hero raises to $0.8</font>, <font color="#666666">1 fold</font>, CO calls $0.80, Button calls $0.80, SB calls $0.70, <font color="#666666">1 fold</font>.

Flop: ($3.40) J[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/club.gif[/img], 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, <font color="#CC3333">Hero bets $2.75</font>, CO calls $2.75, Button folds, SB folds.

Turn: ($8.90) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $7.4</font>, CO calls $7.40.

River: ($23.70) 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets $18</font>, CO calls $16.70 (All-In).

Final Pot: $58.40

also what can you put him on? and is shoving the river like this good? (i did it for value, i think?!?!!?)