I don't know of any of the candidacy requirements that would be violated by any of that. I would hope people would take it into account when voting, but if people want to vote for someone that's been banned from a project, they're allowed to do so. One project can't dictate whether or not someone can stand for the board of the whole foundation, can they?
No. Many users are banned on enwiki that are very welcome on other projects. An example is Poetlister, who until recently was banned from enwiki. She is a bureaucrat on en.wikiquote.
Just to clarify, that was a rhetorical question.