OK All...

Got the new start relay (took the old one apart, completely charred
inside).

Hooked it all back up, and all that happens is the start relay clicks
on and off, on and off.

Reviewing the board for similar problems, I've found 3 steps to take
from he

1) Replace run capacitor.
2) Buy a "hard start" kit to squeeze maybe another year out of the
thing.
3) Call the dump to come pick it up.

I left my ohmmeter at work, so no way to test the cap tonight. Just
thought I'd see if anyone wants to place any bets on how this turns
out.

Option #2 is not something I will consider, BTW

Thanks
Matt