As for the third, very much so. When Orbán was PM, and was in the let there be a two party system phase, creating a right-wing media network was one of the goals. And he wasn't picky in choosing whom to support. In one infamous interview, he gave the direction to his followers by proclaiming that the newspapers/magazines he reads are two notorious far-right ones. For fairness, there still doesn't exist a fully integrated right-wing media, but there is no far-right/centre-right delineation, and the Fidesz politicians studiously avoid any clear statement or act against both far-right politicians and media.

_{*Lunatic*, n.
One whose delusions are out of fashion.}