1) You are suggesting that in the late 1960s the USA had computer technology generations ahead of anyone else, multiple orders of magnitude more powerful than anyone else, and that they had invented entirely new concepts for how to use computers...and that they never used that technology or knowledge for their own advantage except to fake moon landing videos. Also that the conspiracy of silence about it was and continues to be perfectly unbroken by any of the large number of people who would have to have been party to that knowledge (the inventors, the engineers, the programmers, etc). It would be slightly less implausible to suggest that they never used the technology for fear that it might get into the hands of the USSR, maybe, possibly, but your position requires them to have used it (for the CGI). The whole idea becomes even less believable when you consider the main point of the moon landings - to demonstrate the USA's technological superiority over the USSR. Which, obviously, could have been done far more convincingly by showing the vastly greater technological superiority of this alleged computer technology.
There is no evidence to support your position and it's extremely implausible, so in the usual usage of the word "proof" it can be reasonably be considered to be proven false.
2) They demonstrated the technology. They must therefore have spent the money necessary to invent it, develop it, build it and to carry out lunar missions (remember, the lunar ship was independently tracked by many people all over the world, including officials in the USSR).
3) The photos and videos are evidence. Since it's entirely possible that they are real and it's impossible that the videos are fake and there's no evidence that the photos are fake, it's reasonable to consider it proven (in the usual meaning of the word) that they are real.