After doing a bit of research online, it appeared that either the door latch was bad, the filter was clogged, or something else out of our jurisdiction as mediocre washing machine repairmen was wrong. We were hoping for the filter since that is the cheapest thing to fix. Since the machine was starting to smell a little bit like stagnant water, we had a feeling this might be the problem too.
First step was to get the washing machine out and take it apart. This was fun considering we had it in our pantry with about 1/10th of an inch of wiggle room to get it out. But nonetheless, we tugged and pulled and cursed a bit and had it out in no time. We took the back plate, the top, soap dispenser, and a few other parts off using a drill and screwdriver. I figured it would be a good idea to clean everything out too since it was apart. The rubber boot (learned this term that day) was towards the front of the machine with three strong clamps holding it on. Aaron had to pry the clamps off and unhook everything to get it out. We attempted to take the front of the machine off to have easier access but it looked like a nightmare once we got an edge started and quickly changed our mind. So, Aaron had to reach in and tug and pull until it came loose. He did not enjoy the cramped position :)
Once the boot was out, it was pretty obvious that the filter was the problem. Looking into the opening, we could see a pad from one of my swimsuits blocking the opening and that wasn't even the filter! The filter basket contained the swimsuit pad, an old tag, lots of sand, and about 15 coins. No wonder the water wasn't draining well! We cleaned everything out well, put the machine back together (clamps were a huge pain) and ran a test cycle. Guess what? It worked! And we made about $1.50 for all the trouble :) Never know what the day might throw at you :)