turn push with pair and flush draw

[snorer]

$20 MTT on Stars... I've been playing fairly LAG so far and building a stack but just got to a new table so no reads

50/100 blinds. I post BB.
UTG+2 (2880) calls, all fold to SB (7290) who completes, I make it 500 with A[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/club.gif[/img]. I have 4495 behind.
Limper folds, SB calls.

Flop comes 5 [img]/images/graemlins/club.gif[/img] 7 [img]/images/graemlins/diamond.gif[/img] K[img]/images/graemlins/club.gif[/img]

SB leads 400, I raise to 1600, SB calls. Pot 4300.

Turn 2 [img]/images/graemlins/diamond.gif[/img]

SB leads 600, I raise all in to 2985.

Comments on all streets appreciated.