Weird Bugs Showing Up in WordPress interface Out of The Blue (gremlins?)

Weird stuff keeps showing up and I can’t for the life of me figure it out.

The permalinks edit option shows sometimes, not others.

The quick edit works sometimes, not other times.

The html editor works, but when I switch to the visual editor I get a bunch of red dots.

The permalinks structure changes randomly. Even though I have it set to…
/%postname%.html

Sometimes it randomly puts in the category and/or the parent page as a subdirectory. Sometimes it doesn’t.

When trying to post a page I just get a blank screen.

Sometimes I can upload plugins. Other times I’m just getting the same blank screen.

All really weird stuff. I can’t seem to figure it out.

Any ideas?