(1) Yes.
(2) Not the slightest chance.
(3) Not their call. They don't want it, but they cannot stop it.
(4) Now you are on to something. It has already started -"The Most Popular Politician in the World" on Drudge yesterday.
For answer number 2, just something to ponder. Weiner was emphatic that he was not going to leave and we have seen what happened to him.