Check call down AA on scary board?

[Roman]

Should I have put in a bet/raise here anywhere? Maybe even a fold?

Opponent is pretty aggressive but nothing too remarkable.

PokerStars No-Limit Hold'em Tourney, Big Blind is t400 (9 handed) converter

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

MP3 (t8535)
CO (t6154)
<font color="#C00000">Button (t11793)</font>
SB (t2520)
BB (t4140)
UTG (t4930)
<font color="#C00000">Hero (t9570)</font>
MP1 (t12064)
MP2 (t9810)

Preflop: Hero is UTG+1 with A[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to t1200</font>, <font color="#666666">4 folds</font>, Button calls t1200, <font color="#666666">2 folds</font>.

Flop: (t2600) J[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets t1600</font>, Hero calls t1600.

Turn: (t5800) 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets t2000</font>, Hero calls t2000.

River: (t9800) 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets t2800</font>, Hero calls t2800.

Final Pot: t15400