Early 4,40 180 sit and go
Blinds 10 : 20

MP calls (3200)
LP calls (1460)
Hero BB Kh5h checks (1860)

flop: (70)
Kc8h9h

Hero bets 40
MP calls
LP raise 100
Hero calls
MP calls

Turn (370)
9s

hero checks
MP bet 100
LP calls
Hero calls

River (670)
Jh

Hero bets 300
MP raise to 600
LP fold
Hero calls

Should I have raised?
Done anything different?

I thought alot of hands might be played out like that, not easy to say one these low limit tourny.
Hands I think might play this way that I beat is: Q10, K10, lower flush draws.

Hand that beat me and might play that way: J9, ace high flush draw, maybe K9.
I got scared...

I get as much in on the flop as I can.

I think I play this the same, although I wouldn't have minded a reraise on the flop.

Hehe I can see that, but if Im behind at this point im only drawing to a 12 outer.

Do anyone push after the raise on the river?
I made to many mistakes when Im quite sure I have the nuts.

1) 12 outs = plenty
2) Just call the river. I hate the idea of reraising a non nut flush on a paired board.
3) I'm quite sure you don't have the nuts

Entire hand looks fine to me. If stacks weren't so deep I'd get it all in on the flop. As is I don't mind seeing more cards and allowing MP to draw to what seems to be a lower flush or straight (though he wakes up on the turn, so that 9 appears to have helped him out; for that reason, and his raise on the river, calling on the river is definitely correct).

I bet 80 on flop and shove a re-raise.

Early on, gamble for a big stack.

never re--raise that river