Is what I did here wrong?

I decided just to call his min raise with JJ, i didn't have any reads on him. I Put him all in on the flop because i figured with the stupid players a $10 buy in that he'd call, but if an over card came on the turn I wouldn't get his stack.

Game #1101447087 - (blinds $0.05/$0.10) No Limit Texas Hold'em - 2005/11/19-21:00:58.7 (CST) Table "Tahaa" (real money) -- Seat 6 is the button Seat 1: bushwacker42 ($13.80 in chips) Seat 2: redgrape ($4.80 in chips) Seat 3: RealEstateMo ($3.80 in chips) Seat 4: paulsigneruk ($6.05 in chips) Seat 5: brettstephen ($8.70 in chips) Seat 6: ryancar ($6.33 in chips) Seat 7: g0smasta ($8.85 in chips) Seat 8: spongerat ($16.26 in chips) Seat 10: naron ($24.34 in chips)
g0smasta: Post Small Blind ($0.05)
spongerat: Post Big Blind ($0.10)
Dealing...
Dealt to redgrape [ Jc ]
Dealt to redgrape [ Jh ]
naron : Raise ($0.20)
bushwacker42: Fold
redgrape: Call ($0.20)
RealEstateMo: Call ($0.20)
paulsigneruk: Fold
brettstephen: Fold
ryancar : Fold
g0smasta: Fold
spongerat: Call ($0.10)
*** FLOP *** : [ 4s Td 3c ]
spongerat: Check
naron : Bet ($0.25)
redgrape: Raise ($4.60)
RealEstateMo: Fold
spongerat: Fold
naron : Call ($4.35)
*** TURN *** : [ 4s Td 3c ] [ 4h ]
*** RIVER *** : [ 4s Td 3c 4h ] [ 8s ]
*** SUMMARY ***
Pot: $9.55 | Rake: $0.50
Board: [ 4s Td 3c 4h 8s ]

Any feed back? I think my play here is debatable. Should I have raised the flop to see if this guy's min raise meant anything?

I like the flop play, but I'm not so sure about the call preflop. From what I have seen on Paradise Poker, to really get anyones attention preflop you have to raise anywhere between $0.50 to $1.00, depending on the table. A lot of the players are really bad and believe that any hand can win.
My guess is that someone caught two pair 3's and 4's on the flop.

Reraise preflop. Push the flop.