Here are my findings:

1) The condenser fan is running fine
2) The compressor motor buzzes, then overload stops it, to restart in
a few minutes
3) The compressor motor is HOT
4) Inside of the relay does not look burned.

I see four possibilities:

1) The capacitor is bad
2) Something in the relay assembly is bad (unlikely, since this seems
to be a run capacitor).
3) Somehow the compressor cannot pump, due to problems with cooling
coils or whatever other internal blockage
4) [the most dreaded possibility] the compressor is seized.

To eliminate 1-2, I have ordered a new capacitor and a new relay
assembly (since I broke some holding plastic lugs when removing
it). The cost was relatively small ($34.95 for everything with
shipping).

Hopefully, I will get that stuff around Monday (they are in CA, I am
in IL).

We can live with it, because it is our second (garage) fridge, and we
also have a upright freezer.

If that does not help, I would expect this to become an expensive
repair, and I would have to call a tech to replace the compressor, or
even junk the fridge.

i