Yeah, with these assumptions I think you are better looking for the early 22th century as a start.
21 hundred whatever for the date.

So you have cloning blues (albeit since the setting is realistic it isn't super fast or even really economical for most things), cybernetics, tiny bit of post scracity thing with new energy sources and casual space travel.
Yes, weeks of time to reach Mars is like a pleasure ride compare to nowadays. I uppose this is plausible all thanks to fusion torch engines or perhaps the plasma impulse engines using fusion power. Either of these could be theoretically made orders of magnitudes more fuel efficient than pure chemical rockets and generally reusable which makes them all the greater for space travel.
I'll cook up what kind of techs you implied with these 5 answers in a few hours or so.