Here is the 82SC wiring diagram.
http://www.pelicanparts.com/911/911_Parts/Electrical/911_electrical_82SC_AC.jpg
Give us some data. Why did you replace it? Did the compressor engage before on all three settings? Does the evap fan run? Does it speed up as you go from 1 to 2 to 3?
Maybe you have wires switched. I hope the new style switch has the terminal letters on it. Then you can see if you have a wiring issue. If the high speed fan wire and the temp switch wire were reversed I think the compressor would run only on the highest dial speed but I am not sure how the fan would function in speed one or two.
Please advise if you find a resolution.