NL200 full ring 89 suited vs kk?

Hi I played this hand, having a fealing that my opponent had qq,kk,aa or ak suited. I'm just a bit in doubt about I play the hand correct, or I should have bet/shoved higher on turn knowing I had the best hand atm, also I'm in doubt wheter I should have pushed on the river pretending I have either straight or boat, I jus had the fealing that he easly would have called no mather what I did.

Full Tilt No-Limit Hold'em, $2 BB (9 handed) Full Tilt Converter Tool from FlopTurnRiver.com (Format: pokernet.dk)

Hero ($411.50)
Button ($197)
SB ($391.15)
BB ($504.55)
UTG ($255.70)
UTG+1 ($200)
MP1 ($200)
MP2 ($207)
MP3 ($240)

Preflop:/ Hero is CO with 9♥, 8♥.
UTG calls $2, 1 fold//, MP1 calls $2, 2 folds//, Hero raises to $10/, 2 folds//, BB raises to $35/, UTG folds, MP1 folds, Hero calls $23.

Flop:/ ($73) T♣, 7♠, 8♣ (2 players)/
BB bets $48/, Hero calls $48.

Turn:/ ($169) 9♦ (2 players)/
BB checks, Hero bets $80/, BB calls $80.

River:/ ($329) T♠ (2 players)/
BB checks, Hero checks.

Final Pot:/ $329

fold to reraise preflop.