You are a genius!!!
I took the switch apart, removed the two switch terminals, they were black as... well, burned electrical connections! I took a wire brush to them, then wiped them clean, put them back in the switch housing, hooked the motor up to do the spin/agitate test I'd done before we wrote, and the motor started just fine in both directions!
As we're in the wee hours of the morning, I'm going to wait until after sunrise before putting the whole thing back together and giving it the full test, but you've at least helped me solve this one problem, and for that, I am in your debt, Sir. Now how may I repay you?
I'll let you know how it goes once I've tested it later.
Thanks again for all your help, time, knowledge, and patience. You ROCK Dude!!!