I'm not much of a cash game player but I'm working on my ranging and calculations so I'll give it a shot.  Please feel free to correct me. 

Given the action I'm assuming you are expecting a 3-bet pre if someone had AK.  Sounds like V1 could have any two suited cards and pp 99 or lower.  V2 could have broadway cards, suited connectors, or 99 or lower.

Since we took AK out of their range you are essentially playing with TPTK after the flop.  

After the flop bet I would put V1 on straight and/or flush draws, 55-99, 42, Kx, or sets, so I feel your call is okay here

V2 shove limits his range to KT-KQ, As3s-As9s, or sets

V1 shove/call narrows his range to flush draws, 42, Kx, or sets 

I think they are in a good spot to set mine here and would likely lead out if they hit it on the flop since the flush draw is possible.  

You win if both opponents have flush draws or weaker K, and the turn and river are blanks.  You are getting roughly 4:1 ($270 to win $1045) so you only need to win 20% of the time.  Flush hits about 33% of the time, weaker King ends with 2p about 10% of the time, so it looks good so far.  If V2 has nut flush draw then you have to also worry about the A, which hits about 10%.  

If you are ahead at the moment then it seems worst case would be you win just under 50% of the time, but how often are you not ahead?  If it's less than 40% likely that you are ahead of both hands when you make the call (60% likely one has a set or 2p), then it's a fold, more than 40%, it's a call.  Hope this all makes sense and I'm not completely off the rails here.