NL10 - Top Pair + Sick Draw in Blind vs Blind Situation

[yasher]

Only sat down an orbit or two ago, so I don't know much. Preflop's not standard for me at all, but whatever, that's not the interesting part.

Poker Stars - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 4 Players - (LegoPoker Hand History Converter)

SB: $19.90
Hero (BB): $9.85
UTG: $10.00
BTN: $13.05

Preflop: Hero is dealt 3 A (4 Players)
2 folds, <font color="red">SB raises to $0.40</font>, Hero calls $0.30

Flop: ($0.80) A 2 5 (2 Players)
<font color="red">SB bets $0.60</font>, <font color="red">Hero raises to $2.00</font>, SB calls $1.40

Turn: ($4.80) T[img]/images/graemlins/heart.gif[/img] (2 Players)
SB checks, <font color="red">Hero?</font>

Should my flop raise have been a bit bigger? All I want to do on this flop is get it the hell in, and he's not obliging me. A flop raise to $2.60 makes a turn shove only the mildest of overbets, so is that the right idea on a flop like this?

Am I supposed to check this turn behind?

If I check behind and don't improve, am I supposed to fold to an unknown that makes any reasonable bet?