$10 NLHE 6-max: Must I really fold the nut straight?

Villain is typical TAG 22/18 and 7% 3bet stat over 200 hands.

I'm looking for feedback on a couple of things in this hand.
1) Should I have bet bigger on the turn to make possible flush draws pay?
2) Do you think bet/fold is better or check/call or fold depending how much he bets?
3) As played on the river, do you think that's a fold or does he have 2pair/sets often enough to call?

Ty

pokerstars No-Limit Hold'em, $0.10 BB (4 handed) - PokerStars Converter Tool from FlopTurnRiver.com

Hero (SB) ($17.65)
BB ($12.82)
UTG ($10.04)
Button ($10.15)

Preflop: Hero is SB with K , Q
UTG bets $0.30, 1 fold, Hero calls $0.25, BB calls $0.20

Flop: ($0.90) J , 10 , 6 (3 players)
Hero bets $0.57, BB calls $0.57, UTG calls $0.57

Turn: ($2.61) A (3 players)
Hero bets $1.60, 1 fold, UTG calls $1.60

River: ($5.81) 7 (2 players)
Hero bets $2.50, UTG raises to $7.57 (All-In), Hero

1) I like the turn bet size
2) I would bet more on the more river ~3-3.5
3) Your getting 3 to 1 on a call, So does he do this with two pair,89,sets,KQ often enough prob,but river raises are normally the nuts.
sick spot

1) I would bet more flop, like 3/4 pot. Turn bet as played is fine.

2/3) I like JoeBob's line of betting more on river, which nets you more value against showdown hands that you beat and makes it easy to call off a raise due to pot odds. IMO, competent villains in this spot rarely show up with showdown value hands like two pair/sets (which they would simply call river bet with), but is rather doing this with either the flush or air. As played, I think this is weighted towards a fold unless you have notes or information about villain's river bet/raise or general aggression.

bet more river like jb said but he i highly doubt he ever takes this line with top two and super rare with sets on this texture, i think you're crushed but if bet bigger on in prior streets you probably dont even care about calling off getting 906:1 but you are beat so so much.