K3s Shall I push?

[vixnu]

The table is aggressive. The blinds are 200/400 and 50 ante, so some of the small stacks are going all in and most of the time they get a call.

I'm sitting on the BB (sorry, no hand history but the numbers are about right)with Kc3c and with a stack of 5,5k.

3 guys limp in and the SB calls. (their stacks range from 4K to 7k).

The flop comes Ac6c3d

SB checks
I check
2 players check
The guy in the last position bets 800 (stack about 7k)

SB folds
I push all in
2 players fold
Last position calls

Was my play the right move?

[Cornell Fiji]

I shove preflop but not the flop.

[future]

He has a pair and a flush draw on the flop. Standard.