There were two issues here: obtaining water deep within Moon rock on a dark aspect of the Moon that has never had sunlight and thus water is frozen deep within the rocks where it was vaporised by falling meteorites breaking up on impact. This extraction could indeed entail a chemical process to produce water in the form as we know it on earth. The other issue was the planned process to utilise this mined Moon 'water' as a form of fueling station to cut short the journey required for this purpose. In rocket technology this water is split into hydrogen and oxygen. Somewhere along the way in the thread, these two separate issues became conflated leading to some confusion.
As for the radioactivity issue, I merely remarked that instead of spraying the returning capsule with antiseptic for 'Moon Germs' they might have been better employed partaking in standard decontamination procedures - and I quipped they would be better off running a Geiger counter over it, rather than worrying about a non-existent ecosystem, any remainders of which would have been destroyed on reentry, and in any case, meteorites and rocks hit the earth all the time from outer space - because the astronauts HAD been in a highly hazardous environment, once on the Moon surface and secondly, the two to four hours passing through the highly hazardous Van Allen belts.
Finally, your other point: you saw how quickly the solar eclipse passed yesterday. This si due to both the Earth and the Moon being in constant orbit. That should give you a clue why you need logistics to ensure the 'live broadcast' - especially in 1969 from 250,000 miles away is geostationary. Vague guff about 'radio waves' doesn't cut the mustard.