I work in north carolina as a nurse practitioner and am required by contract to give a 120 day notice, i was releived of my job as a womens health pro

and was told there is not enough money with the hospital to keep me on, so i was given an option of moving to urgent care, i gave my resignation as this is not the career choice i was in, we had a verbal agreement that i would work until june 1st, i emailed my resignation on date 03/24/2016, and when responding back and forth i put in the e-mail per our agreement my last day would be on 06/01/2016, i received no response and it has been 2 1/2 weeks since this e-mail was sent, i was called today and told they may keep me until 07/30/2016, what is my legal right in being able to get out of this contract?