[rikz]

I fold AQ to a reraise, and especially to a re-raise + an all-in 3-bet. At best, you are behind a lower pocket pair. At worst, you are WAYYYYYY behind a high pocket pair or AK. You're only real hope is to get a flush or broadway by the river if you're going all in preflop 3-betting (a very low percentage shot).

slightly behind JJ, no hearts
Ah Qh 785191 45.86 920695 53.77 6418 0.37 0.460
Jc Jd 920695 53.77 785191 45.86 6418 0.37 0.540

worse vs JJ, one heart
Ah Qh 779059 45.50 925434 54.05 7811 0.46 0.457
Jd Jh 925434 54.05 779059 45.50 7811 0.46 0.543

hideous vs QQ or KK or AA
cards win %win lose %lose tie %tie EV
Ah Qh 576259 33.65 1114783 65.10 21262 1.24 0.343
Qs Qc 1114783 65.10 576259 33.65 21262 1.24 0.657

cards win %win lose %lose tie %tie EV
Ah Qh 546637 31.92 1158934 67.68 6733 0.39 0.321
Kc Kd 1158934 67.68 546637 31.92 6733 0.39 0.679

cards win %win lose %lose tie %tie EV
Ah Qh 204050 11.92 1486939 86.84 21315 1.24 0.125
Ac Ad 1486939 86.84 204050 11.92 21315 1.24 0.875

and not so good vs AK, either
cards win %win lose %lose tie %tie EV
Ah Qh 480500 28.06 1156301 67.53 75503 4.41 0.303
Kc Ad 1156301 67.53 480500 28.06 75503 4.41 0.697

So, I'd say FOLD to all the re-rerasing preflop.