Yep, the stake-thru-the-heart is the classic vampire disposal technique. For werewolves, you need silver (doesn't have to be a bullet, a silver paperclip would do the job). Fire might also work.

Scan the cloaked figure (as, like Fawriel said, we don't know that it's an Egam). Then ask Fooruman about Unfooruman's powers, what they all do, and why they taste of grapes.