These appliances do unscrew, but you need to disconnect everything properly when you replace your garbage disposal. Make sure you shut the power off to the area first and check that it’s off with a voltage detector. Disconnect the main drain line and P-trap, and then disconnect the dishwasher drain line if you have one connected. You can then unscrew your garbage disposal using a disposal wrench. Just make sure you disconnect the electrical lines before removing your appliance.

The two main negatives of garbage disposals are they are a safety hazard in homes with children, and they frequently encounter blockage issues. While they might be annoying to fix and monitor, garbage disposals can significantly lower your trash use and are a great way to dispose of organic waste. While there are negatives, the vast majority of homeowners acknowledge the positives are enough to install a disposal in their home. 

Your garbage disposal is not draining because it might have a clog due to food waste, a foreign object, grease, oil, fat, or it may have a broken motor. When water doesn't flush out of the disposal, that's a key sign that your disposal has a clog or needs repair. 

No, you do not need a garbage disposal to have a dishwasher. A dishwasher will work without one, and while it's rare to see a home with a dishwasher that doesn't have a disposal, it is possible. The two appliances pair well and are often installed together because a disposal simplifies meal cleanup.

However, your dishwasher should not be used as a replacement for a garbage disposal. Subjecting it to continuous food leftovers can lead to major clogs. If you choose not to install a garbage disposal, you should thoroughly rinse your plates or scrape excess food into the trash or a compost pile before loading them into the dishwasher to prevent plumbing issues.