eva has already been on CN numerous times
No it hasn't. The first two episodes of the series was shown on Toonami 2 (or was it 3?) years ago. That was for "Giant Robot Week". It was never shown again after that. It was also heavily edited.

This is the series' first premier on Adult Swim. It's being shown in it's entirety, and, for the most part, with minor edits. As I said earlier, although they're finally showing the series, there are no plans to show EoE anytime in the near future. Personally, I don't think it will happen at all.

About the live action movie, yeah, it's really old and there is 0 new info on it. I'd rather not speculate until I know for sure that it will be made within the next few years.