1 - The rating is calculated separately for each version (it is summarized into a general table only for those who have played at least 3/5 tournaments).
...
I think that's all. Any comments?

In general, everything is correct, but I don't like point 1. Who will decide who to include and exclude from the general table?
Calculate in separate tables. Simply summarize them into a general one for statistics, just to see how things are changing. Does this table obligate anyone to anything?

Added 53 minutes later

Dear IronAxe: I don't even know which rating to use for the Game Rating in the Best of the Best tournament:confused:
Please clarify.
Sincerely, VDV_forever

I think that AmberSolera's improvements make sense. However, I still don't like the second component in this formula, where there is a dependence on the place and the number of participants. I don't like it because in some cases it negates the first component. Although the place is, in general, nonsense, but the approximation in days to the leader's result is not nonsense. AmberSoler promised to somehow correct this situation, but I haven't seen it in his final post yet. Perhaps this will be taken into account with a tricky coefficient later, when we can already calculate the strength of the tournaments.
Publish the rating based on AmberSolera's calculations. We will develop the idea further if necessary, and who knows, maybe we will come to something :)