re: How are astronauts going to communicate from the South pole of the Moon?
It seems to me that you could instead using 2 satellites going from Earth/Moon L-1 to L-2- and that one could work, but two would more redundant and reliable [in sense of having less problem with satellite spending a considerable time near one horizon. If relay time is a problem [from Moon to Moon] perhaps some kind of combination.
OR one could have 3 satellites "orbit" in one L-point [handling both poles and equator- either on nearside: L-1 or farside: L-2]
OR a combination of all the above