What you describe (a weak connection between the bike and rear wheel, with weird noises) is exactly what happens when the driven spline in the rear wheel goes blooey. And this part goes blooey on EVERY 81+ GS shaftie at some point (some early '81 models had the earlier black spline). Every last one -- Suzuki had a run of weak spline couplers in the '80s.
And the more you dink around with it, the more you're chewing up the matching splines in the final drive.
When you hear hoofbeats, don't automatically assume zebras. There are lots of things things this could be, of course, but you have to remove the rear wheel and look for the highest-percentage option before you start taking the engine apart.
If you poke around, there are plenty of pics and info showing the part and what to look for.
(Lots of info and pics here)
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