Would you like to talk us trough your thoughts on the turn?

I think it's a well played hand.
River he's representing a flush so we would like to have some flush blockers to our hand.

Fold turn. This is a good flop for callers (your) range so when villain bets flop and barrels turn I'd put him on a pretty strong range. If villain has KQ you're drawing to 3 outs, if he has a FD, river bricks and he jams river anyway you can't call, and even if you hit a straight on a spade river it's a tough call. You have reverse implied odds and you're deep, and you have much better hands in your range here

You only have a gutshot and two over cards in a three bet pot and you don't even know if your over cards and all K are safe cards for you. So fold on flop and certainly on turn.

On the river it is close but also here you have not even the nut straight so again fold.

This deep, calling flop is probably fine, but it is not so great if we can't get stacks in on later on if we spike a K. I don't have a high degree of confidence in hitting a pair here (QJ, QT, AJ, AT all make two pair).

I think turn is a pretty easy fold here as played.