Can I rescind a non-compete agreement if my employer breached my employment agreement?

I was employed as an outside sales rep for a specialty laboratory. On Nov 2011, I signed an employment offer and Non-compete agreement. On Dec 30, 2012 they verbally informed me that they would be reducing my agreed upon salary by $25,000. They would not state why the reduction was warranted. I defended my agreement and asked for reconsideration. Two weeks later they decided to terminate my employment without cause. During termination they reminded me that they have a valid Non-Compete agreement that I signed when I was hired.

Another specialty laboratory would like to hire me here in Hawaii. Can I rescind the non-complete agreement so that I can resume making a living?