25NL KK SB, line check - flop and turn bet sizing?

[rh2020]

No reads on villain, but with the minraise I assumed he didn't have AK/AA. Think my flop bet was a bit low, maybe 3-3.50 or so?

Was slightly worried about the straight and flush draw possibilities. Was this turn bet ok?

Absolute Poker
No Limit Holdem Ring game
Blinds: $0.10/$0.25
6 players
Converter

Stack sizes:
UTG: $9.25
UTG+1: $3.65
CO: $23.60
Button: $13.25
Hero: $38.40
BB: $9.10

Pre-flop: (6 players) Hero is SB with K[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/diamond.gif[/img]
<font color="#cc0000">UTG raises to $0.5</font>, 3 folds, <font color="#cc0000">Hero raises to $2</font>, BB folds, UTG calls.

Flop: 8[img]/images/graemlins/spade.gif[/img] T[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/club.gif[/img] ($4.25, 2 players)
<font color="#cc0000">Hero bets $1.5</font>, UTG calls.

Turn: 7[img]/images/graemlins/heart.gif[/img] ($7.25, 2 players)
<font color="#cc0000">Hero bets $5.75</font>, UTG folds.
Uncalled bets: $5.75 returned to Hero.

Results:
Final pot: $7.25