No, while you are infected with Werewolf you cannot be infected with vampire.
You need to be cured, then you can be infected by a vampire.
You can reset your skill points (and attribute points) in your capital city for your faction, in the temple. It's the Shrines of Stendarr and (I think) Akatosh. In DC it's Wayrest. Second zone. EP I think it's Mournhold, and I can't remember AD.
Edit: Look on your map for the shrine locations in the city.