Your play was acceptable. I would have played it differently however. Under the gun standard raise should demonstrate some stength unless he has been LAG all tournament. With your reraise of 15k, you are committed to the pot and really committing him to it as well. If you check down and lose or fold on flop or turn to shove you only have 12 bb left and are in short stack mode. If you are willing to commit yourself with QQ, then shove then and there. Faced with a shove of 60 - 70% of their stack, most KQ will go away. Also, you will get some loose calls with middle pairs because they think that they have a flip against AK as this is a common move with AK. Second way I would play it would be like a bubble situation or a cash game situation. Keep it small. Call, check-call flop or check-fold if overs come. I like QQ and JJ but sometimes you have to play them like 22. Sets are the money makers. If I had to chose which one to play, unless it was a bubble situation, I play the first one. If I come up against KK or AA, I can live with that. Hope this helps.