There is a driver abstract (driving record) and a criminal record, these are two different things.
As long as your driving incidents are not so severe that they are criminal in nature and has caused you some jail time, fines or community service which leads to a criminally chargeable offence - you are OK.
You should contact your police department and clear off any fines related to your driving habits as the police may not be able to grant you a "Police clearance" certificate.