Disclaimer Both magic, and magical creatures are mythological and there is no concrete evidence to pinpoint their existence, powers, weaknesses, etc.
Vampires are not due to the talent system. It is my understanding from word of mouth (which is all we have to go on for these mythical creatures) that you will get vampirism from a creature that can cause permadeath if it kills you. This means you are likely to die attempting to get it, but if you do succeed will be one of the few. I would guess the only one as you probably survived because you killed the creature that grants vampirism.
Yes I think you will be killable. If you survive for an extended time, and the game mechanics made it so that you would be stronger for it then it might be harder but that just means it requires a greater force to kill you, not that you are unkillable. It is my understanding there will not be any unkillable enemies or players introduced into the game.
I would also assume, although this part is pure speculation, that the longer you are alive as this vampire or lich, the stronger your powers but also the stronger your weaknesses. If as a vampire, you don't like sun light, I would expect a brand new vampire to be irritated by it, and a 200 year old vampire to burn up in direct sunlight.
Interesting thoughts though :D