Your kitchen sink should already be vented if there is a p-trap draining to the wall. if it is an s-trap it is not vented and not to present code requirements. The dishwasher drain goes into the side of the disposal and the disposal should drain to the trap. A separate vent is not required for the disposal or dishwasher as the trap for the sink is what requires a vent.
Yes. Your dishwasher discharge hose is probably hooked into the side of the disposal. Running your disposal will not hurt the dishwasher.
Of course
You can have one or both. If you have a disposal, the dishwasher usually empties into it. This helps keep the disposal clean and any food particles from the dishwasher get chopped up. Any home can have a dishwasher, but if your home is on a septic system, a garbage disposal is distinctly discouraged.
Yes the outlet for the dishwasher should be on the same side as the disposal,so the disposal can handle the waste water from the dishwasher.
Garbage disposal, if one is installed, or a wye branch fitting on the tail piece of sink drain. Dishwasher drain line should have an air break or air gap before the disposal or wye branch fitting.
Yes, they should be on separate breakers.
The disposal has to be in place so that the drain on the dishwasher is connected. If you do not have a disposal or are removing it, there is a extension tube for the drain that has the dishwasher tube in it. The disposal does not have to work for the dishwasher to drain. The water is run through the disposal so that any food particles get ground before going in the drain. After a while, the disposal will begin to smell if it is not run.
yepp!
A fitting made specifically for dishwasher that goes in drain line under kitchen sink.
The sink drain is blocked somewhere after the disposal. take apart and clean or renew sink drain.
If the tubing between dish washer and garbage disposal unit is newly installed then someone forgot to remove a plug. If it was working before then the flow from dishwasher to the garbage disposal is too slow resulting in this.
Fit a short length of capped hose to the disoposal fixture.