Before, according to your second post, the pump was apparently running but not draining...
So, you needed the pump.
Now, with the new pump in, a follow-on problem is revealed. It's not common; yes it sucks, but it does happen.
At this point, now that we have the drain out working properly, and the no-high-speed-spin problem revealed, the problem will either be the door lock or the motor control board. You have been given good diagnostic info for the door latch.
I absolutely agree that we're one step closer. Before, when I opened the door on a load of towels, I could see a little water in the tub. Now, at least we're past that point (thank you! ). I just want to make sure I order to right part the first time for this next problem, if that is possible. I'm on a teacher's budget, so paying shipping back and forth, etc really starts to add up quickly and Mamma-San starts to give me the evil hex-eye and quite possibly, spit in my bowl of rice or, at very least, lick my chopsticks.
Here are the results of my door latch test, per SANTA's suggestion :
Door Switch - Black to Red/Blk - 121.4v
Door Lock - Grey to Red/Blk - 124.2v
Door Lock Aux Switch - Orange to Red/Blk - 121.6v
Wax Motor - Pink to Red/Blk - 121.5v
The thing is that I don't know how the motor control board system works, so I'm unsure if there is something else going on that I should look into or not. If the 120v to all four parts of the latch assembly at the start of the rinse/spin cycle is a definitive test, then I'll order a new latch assembly. If further troubleshooting is needed, I'll happily give it a go. Thanks!