All in reraise to QQ?

[Mark1808]

This was a $50 NL Multi Table Tourney yesterday on Party. 280 players started - 30 get paid - top prize about $4500. After an hour my 1000 chips are up to 2595. 128 players are still in and average stack is 2188. I'm playing well - tight aggressive - taking advantage of position - so far so good. A couple hands into the second hour it's folded to my QQ in the #3 spot. I raise 3.5X BB (about 300 chips) and it's folded to the small blind who goes all in. The small blind is very loose but not particularly aggressive - overall a weak player. My opponent has about 2000 chips so I'm still alive, but low, if I lose. I figure, if I win I'm one of the chip leaders and in great shape to dominate the table and make a great run run at first place. I figure I'm either a coin flip with an AK or dominated by AA, KK. Do I call?

I did call, he had AK and hit an A. This is just a side point though, I am wondering if a lay down is the correct play.