There are a ton of grounds on the Riviera. You would not believe the wacky problems you can get from a bad ground. If there are any leaks into the interior of the car, I would look at the areas that are wet for corrosion, and a bad ground.
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98 Riviera SC3800 All stock except gutted air box.
1970 Buick GS455 Stage1, TSP built 470BBB, 602HP/589TQ
Best MPH, 116.06 MPH, Best ET, 11.54
https://www.youtube.com/watch?v=UHCda-t_Jls
https://www.youtube.com/watch?v=sfT2tEO4XcU