It's Good to Be Back on the Moon - S1-E9
Factual error: The Apollo 11 flag gets knocked over by the Chinese rover...but the flag was blown over by the Eagle's takeoff thrust, witnessed by Buzz Aldrin. This was confirmed years later by the Lunar Reconnaissance Orbiter, which showed shadows of the flags planted at all six Apollo landing sites, bar Apollo 11's. The other 5 were all planted further from their landing craft precisely for that reason. It's also widely assumed that the flags on the moon would have been bleached white by decades of unfiltered sunlight, not in good condition like the one shown.
Factual error: Marcus is spun off and he's "on course to intercept the sun in about a week." The sun is 94,000,000 miles from earth, even assuming 2 weeks he'd have to be travelling at about 280,000mph. Orbital speed is about 17,000mph, no way he was flung away from the satellite 16 times faster than that from what we saw.