In the new update Arc made it so the education levels don't drop after you get to auth 5.
I really doubt we're going to have to keep raising authority and stuff in the future content. But if you didn't do the authority on act 2 then the content might not be available in act 3...
No more Authority raising needed, and as Cursed said you can "lock" your Education level once you hit maximum Authority (so I would advise making sure your Education level is nice and high, then locking and forgetting about it) :)