Update:
I removed the broken plexiglass and the piece that wasn't glued on well behind the DE. I was also able to get a good look at the fluorescent fixtures, ballast housing, and construction of the sign. My current plan is to get a friend help me lay the sign in its back and completely remove the front panel. That way, I can get easy access to the wiring and front panel. That should make refurbishing the front and wiring much, much easier. Many of the rivets holding the front panel on have already been drilled out and replaced with screws, so it should be relatively easy. I just don't want to turn it over by myself lol. I'll take many pictures once that's done so anyone following in my footsteps will have something to look at.