Very early in FW 500+65 tourney with KK..

[Hotrod0823]

I posted this but wanted to get some responses. So hear goes.

This was my first live NL tournament. Starting stacks are 1500 blinds were 25/25.

This is the 3rd hand of the tourney and I was in the BB with KK and my original 1500 in chips.

It is folded to the button who doubled up on the first hand with 96s on a suited flop vs. QQ.

Anyway, Button limps, SB checks and I raise to 100.

Button Calls and SB folds.

Flop comes T 6 2 with 2 clubs. Pot is now 225

I bet out 200, Button calls.

Turn is an As, I bet out 225, button Calls.

River is a 2 of spades and I check, Button checks.

I get shown A4s in clubs and he takes the pot with A's over 2's.

Did I make a mistake by not betting the river?

Was my turn bet too small given the Buttons 3000 chip stack?

I think I needed to bet more on the turn but he now has top pair with a flush draw and I don't think he is laying it down. Granted I have given smaller flushes better odds to call. He had to call 225 into a 800 chip pot.

I have been wondering if there was anyway I could've either won the hand or bled off less my stack. I really never recovered enough after this hand to do much of anything.

Thanks

Hotrod