The garlic cloves hanging on houses remind me of
Quest for Glory IV, but since you said the game has no RPG elements and the character cannot die, I am sure it is not the game. Especially since you do not get to choose the characters, you just choose the class.
Drascula: The Vampire Strikes Back is an adventure game with vampires, but I have never played it so I do not know much about it. I just thought I'd mention it here.