The situation is not so simple. More information is needed. However, obtaining an M1 visa seems unlikely based upon the termination, even if you leave the U.S. I strongly recommend an appointment or teleconference with a comptent and experienced immigration attorney before matters get further complicated.
This is general information, not legal advice, and does not create an attorney client relationship.
Any overstay is problematic. Overstays are considered in deciding whether to grant a person a visa.
You should retain an experienced immigration lawyer to review all the facts and advise you accordingly.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship. Answers on Avvo can only be general ones, as specific answers would require knowledge of all the facts. As such, they may or may not apply to the question.