I'm not worried about the benefits, such as heath care. I am just wondering if there is a rule if i work more than 30 hours a weeks for a consecutive amount of time, that I am entitled to having them change my status from part time to full time?

Sorry, there is no law requiring they change you to FT status. If your workplace is unionized then that may be different but a non-union employee without an employment contract doesn't have to be switched to FT after working a certain amount of hours a week. Sorry.