QQ, one caller on flop with A

[shejk]

NL Hold'em $100 Buy-in + $9 Entry Fee
Seat 10 is the button
Total number of players : 9
Seat 1: 1 ( $1010 )
Seat 3: 2 ( $1080 )
Seat 4: 3 ( $1205 )
Seat 5: 4 ( $955 )
Seat 6: 5 ( $820 )
Seat 7: 6 ( $2020 )
Seat 8: Villain ( $975 )
Seat 9: 8 ( $960 )
Seat 10: Hero ( $975 )
Blinds(10/15)
** Dealing down cards **
Dealt to Hero [ Qh Qs ]
folds.
folds.
calls [15].
folds.
Villain calls [15].
folds.
Hero raises [100].
folds.
folds.
folds.
Villain calls [85].
** Dealing Flop ** [ 2d, Ad, 3h ]
Villain checks.
Hero bets [175].
Villain calls [175].
** Dealing Turn ** [ 3d ]
Villain checks.
Hero checks.
** Dealing River ** [ 2h ]
Villain ?

If villain bets, do I call? Which bet sizes do you call?

If villain checks, can I find a valuebet?

If villain checkraises, do I autofold?