I think the hand below has played out in a pretty standard way apart from my comments?

It was literally the first hand at the table so no reads.

No Limit Hold'em $0.10/$0.20
888 Poker
6 players
Formatted by pokercopilot.com: Poker HUD for Mac and Windows

Stacks:
UTG - UTG ($20.30)
MP - MP ($20.62)
CO - CO ($23.37)
BTN - BTN ($20.00)
SB - SB ($21.13)
BB - Hero ($20.00)

Preflop: ($0.30, 6 players) Hero is BB with Qd Qs
3 folds, BTN raises to $0.50, 1 fold, Hero raises to $1.50, BTN calls $1.00

Pretty standard raise, or should it be slightly larger because I will be out of position on the flop.

Flop: 3s Qc 2s ($3.10, 2 players - BTN: $18.50, Hero: $18.50)
Hero bets $2.04, BTN raises to $5.10, Hero raises to $15.30, 1 fold, Uncalled bet of $10.20 returned to Hero

Here I cbet for value as its a pretty dry board. When Villan raises the flop I'm putting him on a range of AQ/KQ/88+ and AxS/KxS (Spades) and total air (Playing position). I'm thinking that any Q or FD calls. Have I been too aggressive here? Should I just be calling his raise and then firing again on the turn?

Total Pot: $13.30

Hero wins $12.64