45 man turbo - playing AQ pre flop with a big-ish stack

[Ontario_Tory]

This type of situation is one where I have difficulties.

6 people left in a 45 man turbo on Stars.

I have a decent stack, dealt AQ in middle position.

Two questions:
1) How's my line? (should this have been a PF push? I'm not convinced with my stack size, but I'd like other opinions.)

2) I raised 3 X BB, figuring I'd call a push. But then BB min raises me, and I'm not sure what to do. Call / Push or Fold?

PokerStars No-Limit Hold'em Tourney, Big Blind is t1200 (6 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

saw flop|<font color="#C00000">saw showdown</font>

UTG (t15790)
MP (t9500)
<font color="#C00000">Hero (t11983)</font>
Button (t6655)
SB (t8437)
<font color="#C00000">BB (t15135)</font>

Preflop: Hero is CO with Q[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/heart.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises to t3600</font>, <font color="#666666">2 folds</font>, <font color="#CC3333">BB raises to t6000</font>, <font color="#CC3333">Hero ???</font>