I'd like to know the answer to this question as well.
I got my CPL earlier this yearand I've recently been convicted of driving on a suspended licence which has appeared on my criminal record.
It was suspended due to going over my demerit points from speeding.
I know it was silly to drive but I had my reasons.
I'm going to talk to my CFI at my flying school to see what he reckons about it but what do you think my chance are now?