Oh, I understand. I was a biker, and my brother is a DIA/RoSPA Advanced Instructor and Examiner. We both have managed to keep our licences points-free, fortunately.
The Rehabilitation of Offenders Act 1974, as it refers to motoring offences, is detailed
here. Basically, any fine or a disqualification of less than 5 years carries a rehabilitation period of 5 years. If your disqualifications carried associated fines and are not spent, they will appear in your Basic Disclosure and you may well be asked about them at interview (hence my comment about responsibility), but they will not affect an application for an airside pass.
For information about Virgin, please see
this thread. If that doesn't answer your questions, by all means PM me.
Scroggs