Help analyzing this hand please (especially the turn)

[BigBiceps]

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Started at 21/Nov/05

seat 0 with $127.70.
seat 1 with $30.20.
seat 2 with $32.85.
OPPO seat 3 with $64.10.
seat 4 with $63.30.
seat 5 with $27.60.
ME at seat 6 with $56.85.
seat 8 with $95.35.
seat 9 with $20.50.
The button is at seat 5.

ME posts the small blind of $.50.
seat3 posts the big blind of $1.


ME: Kc Kd


Pre-flop:

folds. folds. calls.
folds. OPPO raises to $4.50.
folds. folds. ME re-raises to $10.50. folds. folds.
OPPO calls.

Flop (board: 3h Jc 2c):

ME bets $10. OPPO calls.

I bet moderately to see where he was at. Now I put him on either QQ or JJ, after he calls.

Turn (board: 3h Jc 2c 7c):

I got extra outs with the flush draw if he has JJ. ...

ME goes all-in for $36.35. OPPO calls.


River (board: 3h Jc 2c 7c Qh):

(no action in this round)




Showdown:

ME shows Kc Kd.
ME has Kc Kd Jc 7c Qh: a pair of kings.
OPPO shows Js Jh.
OPPO has Js Jh Jc 7c Qh: three jacks.

$3 is raked from a pot of $115.70.
OPPO wins $112.70 with three jacks.

Please help with analyzing, I haven't put my money in as the dog for a while.