Ouch. Given these constraints on re-application, it is a good idea to do an exhaustively good job on your initial application, no matter what license you are seeking. Specifically, if you have any type of convictions or criminal transgressions in the past, you will want to make certain that you do not have a disclosure obligation. The failure to disclose a conviction that is required to be disclosed is automatically presumed to have been done so intentionally by the applicant to avoid having to address or answer questions about that event.
Granted, the disclosure of some criminal convictions may hold up your license. It may result in an offer of an initial probationary license. However, such is infinitely superior to a denial, sustained after hearing on a Statement of Issues, in which both the substantially related criminal conviction AND the failure to properly disclose the conviction are held as grounds for the denial.