Switch Problem
This is a reasonably common problem on the SX-3500/3600 (also SX-620/720, black dial versions). I’ve both seen this described in eBay ads and personally have had two of these through my door that suffered from this symptom, both proved to be same problem. IMO, it's simply a poorly designed part on this switch. The internal mechanical "ratchet" mechanism fails when a tiny plastic pin (molded as part of the plunger - that’s what I call it, it might also be called a core?) breaks. If I recall correctly, it's a bit of a challenge to access the switches on the PCB, but is doable. Options:
1. Remove the spring so you can push (and pull) the switch to the desired position. See caveats following; once you pull the c-clip (holds in the plunger), GREAT care is required. I have not tried this remedy, but can’t see why it wouldn’t work; better than a non-workable switch, but certainly not an ideal solution.
2. Repair the broken part on the plastic "plunger". This I have done. It's minute, detailed work - a magnifier is recommended. This involves re-attaching the broken center pin (super glue). It should still be inside the switch, as least the ones I found were. There is no guarantee of performance on this repair; both worked, one perfectly, the other not a smoothly as I would have liked. I no longer have them so don’t know how they held out. If the molding broke, well, how good can glue be? Detail junkies like me have to try anyway!
Caution: Pulling the plunger calls for great care! Small parts inside!
3. Replace the entire switch. Of course, you have to find one first.
The speaker switches are on or off, the current flows or it doesn't. The loudness/tape monitor switches are likely two position, but all of these are subject to the same design weakness.
Hope this helps.