Depends. Depends on how carefully the temporary was made. Properly made temporary crowns shouldn't cause swelling. You should see your dentist - there might be a problem with the nerve in the tooth.
Generally not. The swelling is most likely related to other wisdom teeth issues, like an abcess, an infection.
Temp crown. If you are going to have a wisdom tooth removed, there is no reason to temporarily crown it first. Just have to tooth removed and be done with it.
Could be. It could cause swelling. Try antiinfective mouth wash to reduce the swelling, .