I would say no,they would have to ingest a massive amount of vitamin e to have any effect on them...if you are worried see a vet...the site I found said that "maybe " the dog would get a upset stomach and diarrhea(depending on the pill and size of dog)....
You should actually contact a vet for that for your dogs dear life
I don't know. Will ask the dog.
Never give anything to an animal that isn't approved by a vetrinarian.