A new belt took care of the traction problem. (The old one, it was pointed out to me, was close to 70 years old.) An angle adapter — once I found a hardware store employee that actually knew the contents of the store — relocated the air hookup nicely.
Now I need several new fuses. Not for the air compressor — for the shed. I managed to blow out two circuits. The unloaded motor was drawing 6.6 amps; the motor with a load... obviously, a lot more. Something is still not right.
Still no all-weather air compressor.