I think I have serious burnout at work. What Do I Do?

It sounds like a chaotic school. I wonder why the others left. Maybe they found better jobs. There are work laws in the states regarding women and breaks. You have rights. Find out what they are. Put alarms in your phone to remind you of things. Don't work when sick as it spreads to the children. Don't let other desperate people, like the Director manipulate you. It is hard to work in a chaotic preschool. It is not your job to organize it, but if she won't, ask for a face to face meeting. She is answerable to the backers. If you are in over your head, file bankruptcy. Look for a better job, but don't quit until you get it.