Did I misplay AA and QQ?

[chopchoi]

Prelude:

NL MTT. I registered the night before, then forgot about the tourney, came 45 minutes late, and my stack was down to 450, blinds 100/200. Very 1st hand I get AQ on the button, and UTG has pushed. Screw it, I'm almost dead anyway. I call. He has jacks, I flop 2 Queens and double up. I push a few times and successfully steal, and work my stack up to a little over 2,000 without having to show my cards anymore.

Then, after the blinds have gone up to 150/300, I get AA in early position. It folds around very quickly, so I don't have much time to think about how I'm, going to play them. I don't want to just steal the blinds, but at the same time, I don't want to limp and give BB a free play so he can hit a lucky flop with rags either (been burned by that play one too many times). So I decide a min-raise is in order, although I'm afraid this is an obvious trap, since I've been pushing or folding every hand. One mid-position player calls the min-raise, both blinds fold. Flop comes 664 (thank god I didn't give the blinds a free play). I push. Should gone I have gone for the check-raise? And if so, how should I have played the turn if he checked behind?

A few hands later, I get QQ in SB. It folds around to me. I min-raise again, and BB folds. How should I have played it?