Suppose I would write the name Minecraft or anything to do with it on my own website. Do I have to write anything about it or something?
No, that would be new to me!
When I write: "I'm driving a BMW", then I don't need BMW's permission to write that… Or do I?! O_O
No! I do not think so…
I only know that the first word on YouTube videos must not read "Minecraft", for example instead of "play through Minecraft in 5 seconds!" "I'm going through Minecraft in 5 seconds!"
But, in my opinion, it is allowed on websites.
Is also not known to me, but to avoid any warnings, just write:
The server / website X has no connection with Mojang / Microsoft.
I read somewhere that this sentence is sufficient.