24 +2: AQo UTG raise faces smooth call, RR from BB on Q high flop

[BarryLyndon]

I had no [censored] idea, Villain is new to table. (Blinds 80/60)

Hero (8350), UTG
Villain, BB (6,390)

Hero raises to 400 with A [img]/images/graemlins/spade.gif[/img]Q [img]/images/graemlins/diamond.gif[/img], BB calls.

Flop: Q [img]/images/graemlins/spade.gif[/img] 5 [img]/images/graemlins/heart.gif[/img] 7 [img]/images/graemlins/diamond.gif[/img]

BB snap checks, Hero bets 500, BB ponders and raises to 1960, Hero calls (?).

Turn: 9 [img]/images/graemlins/heart.gif[/img]
BB bets 2560, Hero ?

By the flop RR, I'm confused whether I'm calling to induce a turn bet by KQ or QJ, a bluff by showing weakness, or if I'm calling because I'm going to re-evaluate and fold? I think calling the flop is OK this deep. Turn bet left me in pain.