It depends on where the black hole appeared, but irrespective of that bit of minutia, the same things would happen on the Earth as on the Moon if a black hole appeared somewhere, that being nothing with regards to a specific person.
If the Earth magically became a black hole, the moon and other satellites in orbit around Earth, would be literally ripped apart into tiny bits and swallowed by the black hole.
There will not be a black hole in the moon today, tomorrow or forever (whenever that happens!)
Black Hole Assault happened in 1992.
Black Hole - comics - happened in 1995.
It disappears forever
Yes, everything can be sucked in to a black hole, even light
Well if it DOES happen and a black hole DOES destroy the Universe, then we won't be around to worry about it.
Objects which approach a black hole will get sucked into it.
Black Hole - video game - happened in 1981.
yes
No. Tomorrow has been and gone and no black hole has appeared.
nothing