I don't have access to an AG-1980P right now to check on the Video Control C.B.A. Mine is being repaired, too.
The machine was revised multiple times through the years, and there are several sub-models for sure.
Capacitors don't always bulge or leak -- sometimes they just dry up. In the case of the JVC DVD recorders, Panasonic DVD recorders, AMD motherboards, etc, it was cheap Chinese knock-off capacitors that bulged and leaked, and that was easy to see. In the case of the 1980 VCRs, the capacitors dry up or drift out of proper value, so there's nothing to see.
You'll need to test each capacitor. I don't have the tools, knowledge or experience to do this, therefore everything is sent to a shop that does have expertise at it. And specifically a trust shop that also knows the AG-1980P quite well.
That shop is Jots Electronics in Arlington, Texas. If you're close, drive there. If you're not close, mail it there. It may run $200 total to fix them, but it's worth it. A restored unit should last many years.