A: No. When you take the Zombie cards and deal them out for “Return Of The Dead”, you deal them as if you were dealing for the beginning of the game: you mix them up, face down, so you don’t know who is getting what, and then you deal them out face down to the players, in normal dealing order, which is clockwise, starting from the person on your left. You get to start with the person on your left so that, as the person who played the card, you get the advantage of being likely to get fewer Zombie cards if they do not deal out evenly.
When everyone gets their Zombie cards, of course, they immediately get turned over and laid on the table.