[s-cars] Just has snows installed, now have weird vibration and rubbing noise

[Premiere Investment Properties, LLC.]

Hi all
I just had a set of used blizzaks installed on my stock avus wheels by a 
local tire shop. When I picked the car up I could hear a rubbing noise from 
some where under the car. I had to get home to get my kid off the bus, so I 
just drove it the 5 miles home and figured I'd check it once there.   I 
jacked the car up and found the noise appears to be coming from the middle 
of the underside of the car when I spin the wheels by hand.  Long story 
short, it didn't do this before they swaped my tires.
 I also noticed that the car would vibrate around 30-40 mph, not the out of 
balance type of shimmy, more like a drivetrain shimmy. The tires came off of 
a Rear drive car so 2 tires are 80% and 2 are 50%. The size is the stock 
225/55/16.
Could the different tread depth have something to do with the shimmy or 
could the idiot tire guys have lifted the car improperly and  tisted the 
car?
Thanks in Advance
Tim