The Board shall act on all applications for a license or certificate of dealer registration under this chapter within sixty days after receipt by either granting or refusing the application. Any applicant denied a license or certificate shall, on his written request filed within thirty days, be given a hearing at a time and place determined by the Board or a person designated by the Board. All hearings under this section shall be public and shall be held promptly. The applicant may be represented by counsel. Any applicant denied a license for failure to have an established place of business as provided in § 46.2-1510 may not, nor shall anyone, apply for a license for premises for which a license was denied for thirty days from the date of the rejection of the application.