To find out if your '86 GLHS is a real S car, you'll have to have the vin checked against the master list of '86 GLHS vin numbers. Go sign up on Turbo-Mopar.com, and get in contact with ShelbyMotorsports. Steve has access to the master vin lists for each Shelby Dodge produced and can confirm if the car is legit or not.
Only the 1987 - 1989 CSX's and the 1989 Shelby Dakota had the extra "Shelby American" serial number plates on the rad support. The 1986 and 1987 Shelby GLHS, as well as the 1987 Shelby Lancer did not have this tag.
Interesting note - The '87 GLHS actually has "GLHS" stamped on its fender tag (see pic of tag from '87 GLHS #80 that I junked last year).