If you're not using mods or cc.
You can try putting the dirty dishes in your inventory and moving the lot into a different world. Sell your lot and move into the lot in the different world to see if the problem is with the lot or the build. Also check off the 'fill empty houses' in gameplay options for if you want to move your sim back to the new world lot after testing it.
If the lot has problems in the new world, the kitchen and trash will work in the different world. If they don't work, try repairing your game.