zbowflyz -
Did you have your interview? how did it go?
With regard to employment history, month/year is just fine. When a background check is done and former employers queried it will be to verify employment dates (the former employer will have the exact day) and rehire-ability. Don't sweat the exact day.
The airline just needs to establish 'who' you are and that your recount of employment is accurate. They want to see if you are a job-hopper or loyal to either your profession or employer. Rick is correct that you will want to prepare a list of references to verify what you were doing while unemployed. This isn't a list of friends, but instead someone deemed "professional" - someone with perhaps a higher degree of training or regard in the community.
Your employment history kind of tells the story of your life - so you will want to provide as much information as you can. It also illustrates what skill set you have acquired over the years and can indicate the type of employee you are.
Lori