$0 NL HE MTT: Did I overplay my 3-of-a-kind?

It was about half an hour in a tournament, starting stack 10000, blinds 120/240(30) increasing every 5 minutes, 8 players at the table.

I was at BB, hole card QsQd, stack 8470 after posting blinds.
UTG+2 opened 720, UTG+3 raised to 1394, I called.
Flop QcTc8h, I bet 2271 (50%), UTG+2 folded, UTG+3 called.
Turn was Js, I bet 2998 (33%), UTG+3 raised all-in to 8480. I folded. UTG+3 showed his pair of 9.

I had only 2047 left and got killed soon afterwards.

Any thoughts on the above, did I overplay with triple Q?

Yes, you flatted a 5x open with QQ. Stick it in.

Preflop
As Four Dogs said, we do not want to just call here preflop and create a bloated multiway pot out of position. With around 35BB effective this was a great spot to shove and then let the other two goofballs make a decision.

Flop
As played I would check-shove with top set. Dont see any particular reason to have a range for leading AKA donk betting in a multiway 3-bet pot.

Turn
Now there is a 1-liner to a straight, so I would check and try to get to a cheap showdown. As played you can not fold top set getting like 7:1. You have 10 outs to make a full house, so even if he showed you his straight, this is a clear call based on pot odds. Have you seen the free CC 30-day course? It has sections about pot odds and other important concepts, which you need to learn to become a winning poker player.