Well, I made a start.
Turns out the black pickguard has a 1-ply tort pickguard underneath, which was sprayed black at the same time as the body. Doesn't look orginal and the paint has destroyed it anyway. Under the pickgard is natural finish. The pots I can read are 70-021, 1377344.
Peeled the bad varnish off the neck using a craft knife. That's coming up nice. Started on the back of the body with paint stripper. The black is awful stuff, but there's natural finish under it that the stripper seems to be leaving alone. I wonder if this was a victim of punk, looks like they just sprayed over everything.