Interesting draw: Best play and did I have the odds?

An interesting hand I came across yesterday. Villain called me a donk for calling his bet, I think I had the odds to call. Is checking on the turn the right move? Kinda tells him I am on a draw, doesn't it? Isthe 5$ value bet after the river fine?

Here's my thought: I have 9 outs for my nut flush + 4 (-1 for the jack of hearts) for the nut straight, giving me 12 outs and about 48% to hit one of my outs on turn or river. Villain is betting about half the pot size, so I think my call is justified here. Any comments about the situation, preflop raise, not leading out with a bet?

Villains play: Would a block bet after the turn have been the right play to push me out of the pot, since he must have figured I am on a draw (checking the turn), to avoid odds for me to call again?

Party Poker No-Limit Hold'em, $ Hero (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG+1 ($18.85)
MP1 ($7.21)
MP2 ($6)
CO ($9.65)
Button ($43.92)
SB ($32.45)
Hero ($26.60)
UTG ($15.72)

Preflop: Hero is BB with T, K. SB posts a blind of $0.10.
UTG calls $0.25, UTG+1 calls $0.25, 1 fold, MP2 calls $0.25, CO calls $0.25, 2 folds, Hero raises to $1, UTG calls $1, UTG+1 folds, MP2 calls $1, CO calls $1.

Flop: ($5.35) Q, A, 8 (4 players)
Hero checks, UTG bets $2, MP2 folds, CO folds, Hero calls $2.

Turn: ($9.35) 9 (2 players)
Hero checks, UTG bets $2, Hero calls $2.

River: ($13.35) 4 (2 players)
Hero bets $5, UTG calls $5.

Final Pot: $23.35

Villain is the donk here. On both the flop and turn you have correct pot odds to draw to the nuts. With 12 outs you have about 1/4 chance of hitting next card, so folding to a bet of less than 1/2 pot would be to giving away money.
I wouldn't raise KTs from the BB though, it's not a very strong hand and certainly not one that you want to build a large multi-way pot with out of position. On the flop you might consider leading out strong since you're not really afraid to get all-in. But out of position against 3 opponents who may not know how to fold I would probably prefer to draw with nice pot odds and implied odds. Once UTG bets weak and the other two players fold check-raising could work though, pushing would only be a slight overbet.

even if you didn't have pot odds your implied odds were good enough. Also if you hit an inside straight it's very hidden and you could extract a lot of money.

I float on both of those bets ALL DAY LONG....

He wanted you out he shoulda bet more...

You played it fine post-flop, nh. But pre-flop you should just check. If you're going to raise with a drawing hand OOP with four limpers already in (which I wouldn't) you have to pop it. Raise to $2 at least. Hope to drive a few, or all, of the limpers out pre-flop and then the rest out when you c-bet the flop that you miss 75% of the time.

I'm gonna save you a lot of money here and say work on your preflop play!! Get this down. KTs isn't a strong hand, ask around about it.