I could offer some advice on how you played the hand, and your analysis.
First, KTs in the BB isn’t a bad hand to start with. I disagree with limping to the flop here. Your cards are both high, and suited. A 3BB raise might have convinced 33 to fold, as 1200 is a lot of chips here. You might even take the hand outright.
Even though you want to build a pot, the way you do that is not checking. If people fold, good. You got as much as you could out of them already, and now they’re out of the hand, no longer a threat.
Hitting the top pair, Tens, is ok, but not great. There are four pair hands that can beat you, any two pair or better is ahead of you, also. You’re probably ahead here, but might not be for long. The min bet to build the pot isn’t the right play. You want draws to fold right now, not after they hit (which is impossible, unless the board strongly suggests an even better draw was possible, and you’re representing it with your bets). Bet bigger, and win the hand now. If you had raised preflop, folded 33, and gotten a call from someone else, the pot is already big enough to close early. If 33 is still in the hand when you bet big on the flop, of course they call. But that tells you something, which is to proceed with caution from here, because they wouldn’t call with nothing, and all you really have is a pair.
As is, you’re already in deep trouble, with 33 hitting their set. Ordinarily you wouldn’t think about that 3 in the flop, but that’s why limping small pairs and making sets that no one suspects is a great place to be. I doubt the big stack is desperate enough to play 33 into a big raise. But once they hit the set of 3s, they won’t lay it down for someone who just limped from the BB.
The other news on the flop is that you completely lost any chance of hitting the flush, and that’s significant. Your best draws now will be to three of a kind, two pair, or possibly full house. Keeping a flush draw here wouldn’t have mattered in the showdown, but it was significant at the time that you lost a draw to a powerful hand, and that should be considered.
You stated that you bet 2000 on the river to scare away straights, but it’s too late for that, if there were any, they were already made, on the Turn, and would LOVE to call your trip Tens. If you are betting trips made on the river, it should be a value bet, not a bet to get folds. 2-3BB might get a call from weaker hands, and if you’re beat, you’re not losing as much if they call with better.
Of course, you could get raised off a small value bet, and then you have to rely on your read of the table to know whether it’s likely your opponent has better. And the 3s Full is very well disguised here.
In the end, it’s a disaster from the flop that you don’t realize until the showdown, but it was made preflop when you didn’t raise enough to get 33 to fold. In fact, your hand was behind the whole time.