I like this anime. Everything in it is believable and will probably happen.
Space trash is gonna be a big problem that in all likelihood will be dealt with in the exact same manner as they do it in this anime. If no one does anything about it will probably clutter space around earth making space travel impossible.
The only small problem i have is the date. It seems unlikely that there will be huge space stations and moon bases in witch thousands of people will work and live in the year 2075. It will probably be longer than that seeing that it has been 39 years since the last moon landing and we haven't been back since.