Also, carefully check the basics, such as spelling, grammar, punctuation, etc., on your resume and application.
Simple typos on documents you are putting forward about yourself say a lot to recruiters about your attention to detail and what habits you will bring to their company. If you don’t care enough about the documents you’re giving them, they will generally assume you’re not going to care about their airline or the job.
Also check employment dates. Make sure there are no unexplained gaps there. All your time since high school should be accounted for between school and work.
Otherwise, above advice is sound. The driving stuff doesn’t sound like it should be too much of an issue, as most of it is not related to a moving violation.
Although some might consider it a bit much at the regional level, you may want to have a professional service review your application and resume. It could be that extra little bit that gets your foot in the door.
Whatever you do, don’t give up if this is what you want to pursue. Keep applying and moving forward, and reapply at the six-month mark or whenever they say you can.