how much information on facebook can a company page view?

okay so i want to add my martial arts school on FB however i don't really want the school to be able to access my account but i want to be able to keep up with events that are going on. Okay so i really don't mind them looking at my page but i don't want them to look at the following: my relationship status, wall posts made by my friends, wall posts made by myself. I have these things set on custom so that i selected the friends that can view this information but i am wondering if that applies to the my martial arts school as well. when i go to the page I have to "like" it and its under the business of : company.

If anyone know what i can do about this or if what i have already done is enough to secure my information please let me know.