Driving records are part of what the airlines look at. Numerous tickets WILL hurt you (numerous accidents/tickets show a lack of responsibility/maturity). The important thing is to PREVENT ANY OTHER TICKETS/ACCIDENTS that are your fault!
KiloAlpha is correct in saying that it's important to be upfront about it, but I do know that two of my previous employers eliminated applicants that had more than 3 infractions in the past 5 years. The fact is that there are just too many appplicants out there, so employers/recruiters can be picky.
The issue at hand is not that your human (everybody gets a ticket or has an accident now and then), but whether you learn from your mistakes or not. Drive safe and it shouldn't be a problem once you establish a few years of safe/incident free driving.