I was Falsely Accused of Cheating.

Can you tell us specifically who at the university you have been appealing to? You mentioned the director of your school and the director of nursing. Is your school of nursing located within a regular college and university? Then the university itself will have appeal procedures. You need to get the correct information on how to respond to allegations of dishonesty by going to the university level, not the school of nursing level. Earlier I suggested the Dean of Students or the Ombudsman, and you responded that you have been working within people in your school (presumably the school of nursing.)