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The cruise control in our 1988 Coupe died one day and I looked under the hood and there were two vacuum leaks, one was at the EGR solenoid and the second was at the cruise control device near the battery. I cut off the ends and the cruise came back to life. Since then I have put little tie wraps on the vacuum lines to secure them as I cut off 1" from the end of each one I worked on.
Best wishes getting your Cruise Control back to work again, it shouldn't be too bad as you can get to most of the parts, most of the time!
If you have a manual tranny, know there's a kickout switch on the clutch also.
If you don't have a FSM, get one. There are diagnostics in there that should take you through fixing it.
The contacts on the brake switch on my 88 were corroded. Changed the switch and no problems since.
Check the brake switches with multimeter, I had an internal failure in one of the switches.
The contact inside broke making a poor connection, would drop out of cruise at random and one day no more cruise.
Check the vacuum hoses and don't forget the dash controls the cruise control also, look at Batee's website for schematics www.batee.com