I need help with AQo!!! Hand from last nights $200 +$15 on UB.

[soxfan70]

AQ is a hand that seems to give me almost as much, if not more, trouble than JJ. I am really interested to hear people's comments and their thought process about this hand. Early stage of $200 + $15 MTT on UB last night. I'm on the button with about $2800, Blinds are $20/$40. Folded to cutoff who limps, I have A [img]/images/graemlins/diamond.gif[/img]Q [img]/images/graemlins/spade.gif[/img] and riase it $120. SB folds, BB re-reaises to $420. Cutoff folds, and it's back to me for another $300. I call the $300 - Question 1: Should I have laid it down? What would your thought process be here if you could/would lay it down?
The flop is Q [img]/images/graemlins/club.gif[/img]2 [img]/images/graemlins/club.gif[/img]2 [img]/images/graemlins/spade.gif[/img]. The BB leads out with a pot sized bet. Question 2: What would this bet mean to you? Did he re-raise with a middle pair, and hopes the Q is a scare card for me?
Question 3: You've got top pair with top kicker. Flat calling (in my opinon) is not an option. Any meaningful raise will pot commit me, so it's either push or fold. What do you do?
Results shortly...