PREFLOP: FOLDS TO CUTOFF

Co(24bb): Calls 1bb

Hero(92bb): (Kc9h) Calls 1bb

SB:Folds

BB(16bb): Checks.

FLOP: 5h Kh 4h

BB: Check
CO: Check
Hero: Bets 2,2BB
BB(14bb): Calls Bet
CO:Folds

TURN: 5d

BB: Check
Hero: Bets 5BB
BB: All In 14BB
Hero: Calls 9BB

RIVER: 5s

BB: Shows JhQh
Hero Wins with Full House

NOTE:
Did i call wrong preflop, being so deep, makes me 3-Bet in late with hands like this?
Did I call wrong in the turn? I mean how many Flushes or 5 did he has? Checking in the BB he will have Flushes Draws, worse Kings, Tons of Face Cards and medium pocket pairs. The part of his range going all in being so short, that have flushes and 5 arent too big. Did i played wrong?

Thanks!