Reraise amount with AA and 3 behind

I don't know that I would do it any differently, but....

Shorty and UTG+1 were loosey-gooseys.
Do you reraise even more than that considering shortie is more likely to call, giving the other two an easy decision to come along?

Flop, I figured he could easily have one spade so wanted him to pay me to go for it. What's your flop line?

I probably shoudl have laid down to the raise, but he was loose and aggresive so thought he could be chasin still.

Ultimate Bet
No Limit Holdem Ring game
Blinds: $0.10./$0.25.
10 players
Converter

Stack sizes:
UTG: $4.65
UTG+1: $34.15
UTG+2: $24.65
MP1: $5.50
MP2: $11.95
MP3: $9.75
CO: $23.15
Button: $23.10
SB: $24.35
Hero: $25

Pre-flop: (10 players) Hero is BB with A:diamond: A:club:
UTG raises to $0.85, UTG+1 calls, 3 folds, MP3 calls, 3 folds, Hero raises to $4.75, UTG calls all-in $4.65, UTG+1 calls, MP3 calls.

Flop: 4:spade: 9:spade: 5:spade: ($21.35, 3 players + 1 all-in - Main pot: $21.35)
Hero bets $15, UTG+1 raises all-in $29.4, MP3 folds, Hero calls all-in $20.25.
Uncalled bets: $20.25 returned to Hero.

Turn: 6:spade: ($65.75, 0 player + 3 all-in - Main pot: $21.35, Sidepot 1: $58.8)


River: T:heart: ($65.75, 0 player + 3 all-in - Main pot: $21.35, Sidepot 1: $58.8)

I think it looks great.