I think I'd use that environmentally-friendly, non-caustic green stuff. (Sorry, can't remember the name, but your paint shop should know.) And, use a plastic scraper, rather than metal.
As to the finish, I'd suggest using slightly-thinned high-gloss polyurethane, rather than satin, and then tone down the sheen with a bit of hand rubbing with Rottenstone powder and linseed oil on a soft cloth. Or, you could take the full "restoration" route with a fine shellac (along with hand rubbing). The modern polyurethane is probably more durable, though.