Something that might trip up people is having conflicting or negative information out there on other websites. If you're on linkedin, your profile ought to be up to date and show that you're looking for full time airline pilot employment. Resume on linkedin should be current too. Other social media needs to be pretty clean, nothing antisocial or whatever with your name associated with it. I tried to avoid political and other intense discussions for a couple years online while I was applying, because it would be pretty pathetic to lose a job because of some random facebook reply to some meme that was dumb to begin with.

With a lot of experience... Maybe get the application scrubbed by checked and set or Rebekah Krone or someone like that, and then make sure your application has a few fresh letters of recommendation uploaded alongside your resume on the pilotcredentials app. If you know someone at SWA who will recommend you, get them listed as an internal rec on pilotcredentials and ask them to go through the recommendation process internally (letter to chief pilot works I think). That should at least get you looked at.