They cannot stop there and they cannot land anywhere later. Everything else about space explorations is fake news!
They cannot go there (rockets do not work in a vacuum)...
Of course rockets work in a vacuum, just not in the way you think.
Nope. And not what I think, but what Mother Gaia's physical laws dictate.
...nor can they exist there (zero gravity doesn't exist and geostationary orbits don't exist either).
Then it's a good thing that all orbits (including geostationary) require gravity in order to work.
Gravity would pull them to Earth, if they could be up there. Geostationary cannot exist.
They cannot function there without maintenance, as every man-made object needs maintenance.
How much maintenance does your television require? Why is it so hard to believe that some things can be engineered to be highly reliable for a number of years?
When I throw some micrometeorites to my TV with 10,000s km/h, quite a bit. When I expose my TV to lethal cosmic and solar radiation as well. When my TV is heating up to 300 C on one side while the other side ia at -270 C it disintegrates, just like those imaginary magical "satellites" would do.
Look, no one is claiming that satellites work forever. In fact, most satellites have a life expectancy of around 10 years or so and there are a number of dead or decommissioned geostationary satellites up there.
In fact, the only satellites that can ever exist are natural satellites.
Satellites are just as much fantasy as any other "space travel".
As the author used to say, any sufficiently advanced technology is indistinguishable from magic.
Indeed. That is what they are. Magic tricks, nothing more, nothing less.