Extracting maximum chips with Full House

[Dr. Moreau]

PokerStars No-Limit Hold'em Tourney, Big Blind is t150 (9 handed) internettexasholdem.com

MP2 (t1770)
MP3 (t3245)
CO (t4250)
Button (t4610)
SB (t3795)
Hero (t2700)
UTG (t7075)
UTG+1 (t2935)
MP1 (t1570)

Preflop: Hero is BB with 4[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, UTG+1 calls t150, <font color="#666666">5 folds</font>, SB completes, Hero checks.

Flop: (t450) J[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets t300</font>, UTG+1 calls t300, SB folds.

Turn: (t1050) 7[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, UTG+1 checks.

River: (t1050) A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero ????</font>, UTG+1 ????.


How much should I have bet on the turn? I played it cute, checking it.. in hindsight I think I should have bet $500 or so?

How much do I bet on the river here, after my 'cute' play?

My range for the villian is QJ and below, Ax spades, or a small pocket pair.