first third is right
You don't even have the opportunity to have anybody at SWA give you internal recommendations until you have an interview date. Also, as he said, there is a spot on the electronic app saying you can get three written LORs for the interview. After you have an interview date, SWA pilots can see your name and write an internal LOR for you. BTW, at least three out of 11 in my interview group did not have a type rating. I also know several other pilots who got hired without the type rating. Good luck.