I had my supercharger replaced with a new one and the inter cooler pump was also replaced by GM, is that necessary to re-tune the car?

 

Did your pulley size change? If you kept the same pulley and nothing else changed (the pump doesn't really factor in unless it has stopped working and you don't want to replace it) you do not need another tune assuming you replaced an m62 with an m62 etc. If it was runing crappy to begin with though, you might as well find another tuner to get'r done.

 

i'll still have the same pulley;i have a feeling the car was actually tuned with pump not working and with supercharger being fucked up

 

If you car was tuned with the impression of you not having a working cooling system for the compressed air I doubt you would be making the kind of power you have in your sig. Your tune might not be optimal though, who tuned you? You can always search to forums and find some members here that a good with tuning LSJs.

 

it was a custum tuned by jannetty racing

 

If it was just a SC and Pump replacement with no change in pulley size, you do not need a new tune. A new tune may eek out a few extra ponies, but we're talking like 3-5 on a good day. Unless they're offering to do it for free I wouldn't bother tbh.