Middle pair and flushdraw on the flop - all In?

[Virox]

$10 Paradise Poker No-Limit Hold'em Tourney, Big Blind is t30 (6 handed)

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

<font color="C00000">UTG (t1495.00)</font>
MP (t1320.00)
CO (t1535.00)
Button (t1845.00)
SB (t2450.00)
<font color="C00000">Hero (t1355.00)</font>

Preflop: Hero is BB with 5[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of t30.
<font color="CC3333">UTG raises to t120</font>, MP folds, CO folds, Button folds, SB (poster) folds, Hero calls t60.

Flop: (t270) 2[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/diamond.gif[/img] <font color="blue">(2 players)</font>
Hero checks, <font color="CC3333">UTG bets t100</font>, <font color="CC3333">Hero raises to t350</font>, <font color="CC3333">UTG raises to t1375</font>, Hero calls t885.

Turn: (t2880) 9[img]/images/graemlins/heart.gif[/img] <font color="blue">(2 players)</font>

River: (t2880) 4[img]/images/graemlins/heart.gif[/img] <font color="blue">(2 players)</font>

Final Pot: t2880
<font color="green">Main Pot: t2880 (t2880), between UTG and Hero.</font> &gt; <font color="white">Pot won by UTG (t2880).</font>

Results in white below: <font color="white">
Hero shows 5d Jd (one pair, jacks).
UTG shows Qh Kh (flush, king high).
Outcome: UTG wins t2880. </font>


I don't like how I played this hand. I think the pot-size raise on the flop was really bad. Both All-in, call and even fold (I'm a winning player and don't want coin flips) would have been better. Any thoughts?