All in Preflop with QQ, First time ever. Opinions?

Party Poker $50, NL. Shortstack is a fishy, villain 2 is a typical lag. I pushed here hoping to get heads up with the shortstack who had pushed ahead of me, but, given that the other villain didn't reraise me preflop, at the time, I was happy enough to have him come along. What was the correct play here?

Hand converter messed up the all-ins again.

Anacardo was at the table for this hand and chatted "sick," afterward, which I took as a clue that maybe I needed to ask whether I had screwed up.

Party Poker No-Limit Hold'em, $ BB (10 handed) converter

UTG+2 ($9.90)
MP1 ($91.05)
MP2 ($64.95)
MP3 ($49.50)
CO ($48)
Button ($49.25)
SB ($280.92)
BB ($51.25)
Hero ($38.65)
UTG+1 ($59)

Preflop: Hero is UTG with Q[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/spade.gif[/img]. SB posts a blind of $0.25.
<font color="#CC3333">Hero raises to $2</font>, UTG+1 calls $2, <font color="#666666">UTG+2 raises 9.80 (all in), Hero reraises all in7 folds</font>, UTG+1 calls $36.65.