I'm having a problem with my car originally thought it may be the turn signal switch was going bad. Because when I turn on my right signal my air bag and brake lights would come on turn on my left and the car would stall out. but now when I turn the key on the speedometer needle goes completelyto the right and then back to zero and I hear a buzzing noise under my dash, does anybody have any ideas what might be causing this?

Something sure does not sound right! Has the Regal had any aftermarket alarms or anything installed that may have caused wiring problems?
Check the connectors under the dash to be tight, look for any loose or broken wires/connectors. Also check all the fuses to ensure none are blown.
The buzzing sound, try to identify where that is coming from could be a stuck relay that may be causing the grief as well.

Nope this car is 100% original no aftermarket parts at all. A stuck relay sounds feasible Wont start until the buzz/hum quits.

Also I'm wondering if this car has two control modules I know it has one under the hood in the airbox. But upon preliminary examination it looks to also have one up under the dash on the drivers side, I'm wondering if that couldn't be the source of my woes.

If it wont start until the buzzing or hum doesnt quit, that is a sign of whats up.
Try to find that bad relay or what exactly is a hummin...
If it wont start the ASD relay comes to mind, but I dont have a FSM for the regal, and locations of the modules also would be good to know for sure.
Hopefully others will chime in with some input here as well....

Sounds like a ground issue to me. Make sure to check all fuses as well. I've seen a blown fuse cause backfeed issues.

I agree with Racer, seems to be a back feed problem because of a bad ground situation...

Ok I found he module making the noise it has lectron roch mi on it. I have not found any bad wiring as of yet. I have been researching the problem and apparently this is a common problem in General Motors vehicles of this year. its location is under the drivers side of the dash it has two plugs going into it

Should have other numbers on it possibly. May have to remove it to identify.
If you can post a photo of it, that would be really helpful.
If it is a common problem, did you learn anything about this particular module?

I wish I could post a picture but my menu is not giving me the option it'* located in the same area as my BCM/PCM and also the module that contains the chime it is the smallest of the three some people have said that it may be the Daytime running light module others have said it is a Passive security module. currently trying to find it in my Haynes manual.