How would you play it?

You're in late position (vital here) with

A K

3 limpers ahead of you (mostly weak players who will chase)

Raise to 4x the bb and all call (blinds fold, so 4 players)

pot has 17 bb

Flop comes A T 6

Question 1:
How much to bet if it's checked to you?

Say you bet and get at least 2 callers and suspect at least 1 is drawing to a flush...

2 things can happen on the turn:

1) the 3rd flush card comes

Question 2:
What do you do if it's checked to you again?

Question 3:
What do you do if you bet out and are check-raised?


2) the flush card doesn't come

Question 4:
How much do you bet?

I won't ask about the river play for now.