In my neck of the woods it's 30 minutes between games. That's NCAA, Legion, and Independent games. There are times we'll tell THEM we'll try to be out in 25, but 30 is the rule of thumb.
As to the "lights being on a timer"...I have NO control over that. That's just poor planning, and I certainly hope they don't try to blame ME for not getting in a game because the lights get shut off! I could suggest we start everyone with a 1-1 count
And dealing with that ejected player - you need to find out BEFORE you go umpire in any league/game what their policy is for players sitting out game 2. FED ball calls for him to sit. PRO rules do not. I don't know about LL, or Cal Ripkin, or Dixie - you get the the idea. The time to deal with that crap is to know going in what your options are.