I think "ZF mount" was a typo, they meant ZE, and the camera only has Canon EF mount so far - I'm not sure, though: too much noise around the BMC announcement
Yes. ZE is Zeiss Canon mount. I would get the Nikon ZF mount because it has a manual aperture ring (unlike the electronic ZE). Then you just get an adaptor and you can pretty much use it on any system, unlike the ZE. Or at least that's what I do.
ZF is not a type of mount. It's a Zeiss "Z" series lens in Nikon F mount -- hence, "ZF". And ZE isn't a type of mount either, it's a Zeiss "Z" series lens in a Canon Ef mount, so ZE. Just like ZS isn't a type of mount, it's a Z series lens in a pentax Screwmount mount.