Phil~ found and fixed the electrical shock problem. Two of the wires running along the lower left compartment floor had been a little bit too near the heating element so the wire insulation was cooked in a very, very small area. Doubtless it was touching metal somewhere. Repaired now…fridge running and NO electrical shocks or any of that mild "buzzy" feel on the outside of cabinet.
I've even touched the dishwasher and the fridge at the same time--no problem. Kept my steel wristwatch on the whole time, too. Nice to know this '63 isn't going to electrocute anybody now!