Amputees have phantom limb sensations including pain. I believe this is more than theory. Certainly medical science has collected at least some case studies over the past century about people who have had their auditory nerve severed for one reason or another. And, as I recall, the auditory system actually does behave unlike other parts of the nervous system like vision which is more mechanical and less dependent on the brain for basic functionality.
Well, perhaps some but I don't think it's the usual cause. Phantom limb isn't just loss of sensation, it's also having part of the body chopped off. Just having part of your body go numb doesn't usually cause that.
It does and it is called neuropathic pain. Phantom limb is just an extreme case of it, but malfunction or damage to nerves can cause all kinds of phantom “pain”. Experiencing phantom sensations due to nerve damage is well known and widely documented, so phantom sound in the ear due to nerve damage is well in line with that.