Oftentimes, the Secretary of State in mistaken regarding what the recommendations for getting one's license reinstated. The fastest way to get your license reinstated is to provide a certified copy of disposition of your conviction to the secretary of state coupled with a letter explaining the situation with a request for reinstatement. You will most likely need a formal hearing and having an attorney with you will make the process smoother and increase the likelihood of success for you.
Feel free to contact me if you have any questions
Good Luck
Purav