Either force yourself to eat all the food or pack it out. Some trash can be burned, but everything else needs to be packed out. You should be able to get your dishes clean without soap then drink your dishwasher.
Anything that has a smell need to be stored somewhere bear safe overnight. That includes leftovers, trash, toothpaste, food, sunscreen, and anything else with a non- natural smell. Bears can smell the food you buried and it will attract them to your camp. If you happen to be somewhere with permanent infrastructure like bear lockers use them, otherwise you'll have to carry something with you for food storage.
I don't recommend hanging your food. Bear hangs aren't effective against determined bears, especially in areas where bears have had the opportunity to practice getting them down. They're time consuming. It's not always possible to find a tree that's adequate. You need a limb about 18' off the ground and at least 5' long with no other limbs near it that a bear could use to get near your food. A tree like that doesn't always exist. Most people do poor hangs. They usually can't find an adequate tree, don't spend enough time looking for one, or don't know how to properly hang their bag.
If you're dead set on a bear hang I'd recommend looking into the PCT method or counterbalance hangs. Neither require tying off to a different tree which makes it more difficult for a bear to drop your bag. A bear canister is a better choice in areas where bears are an issue, and something like a Ursack is adequate in most areas.