You do not appear to be cap exempt because you were not counted in the cap during the past six years. A new employer may be able to transfer your H-1B status and recapture the unused time on your previously approved petition. It may be best to apply for a new visa in the lottery. If you have an employer interested in sponsoring you, you should speak to the employer's immigration attorney.
Answered on Nov 23rd, 2015 at 5:24 AM