[Closed] KJs $0.5/$1 FR

Opponent's flop cap made ma cautious. Could I have folded the hand somewhere, calldown, or even raise/fold turn?

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.5/$1 Fixed-Limit Hold'em (9 handed)

Preflop: Hero is CO with K:c, J:c.
4 folds, MP3 calls, Hero raises, BU folds, SB calls, BB calls, MP3 calls.

Flop: (8 SB) 9:c, K:d, J:h (4 players)
SB checks, BB checks, MP3 checks, Hero bets, SB calls, BB raises, MP3 calls, Hero 3-Bets, SB caps, BB folds, MP3 calls, Hero calls.

Turn: (11 BB) 6:h (3 players)
SB bets, MP3 calls, Hero calls.

River: (14 BB) 2:d (3 players)
SB bets, MP3 folds, Hero calls.

Final Pot: 16 BB.

Results follow:

Hero shows two pairs, kings and jacks(Kc Jc).
SB shows a straight, king high(Td Qd).

SB wins with a straight, king high(Td Qd).