Ummm your job still gets paperwork asking about you as a person. I wouldnt tell my job to suck it if I were you lol. All you past jobs will get it. Also dont do anything stupid aka make stupid purchases until you pass the academy. That's an obstacle in itself.
Maybe not every old job, but yes several of your old jobs will receive a basic one-page questionnaire asking about you for your security clearance. There's a specific question asking if you'd be eligible for rehiring, and if the answer is No they have to submit an additional explanation, so don't go burning any bridges more than you absolutely have to. It is possible, however, that you could receive a conditional security clearance and those letters may not go out until you're already at the academy.
And as a heads up, your current manager will receive one of those letters too. And it's entirely possible that it'll come several weeks or months before you make it to the academy. So be prepared to have that awkward conversation.
I'm already in the agency.... when I got hired I had an interview because a former employer from 6 years prior said some bullshit about me. Be careful. Btw I had my interview after I passed the academy and was already at my facility.
Unfortunately I don't have an answer for you, but out of curiosity, what do you want to discuss? The Referred/Not Referred decision is based ONLY on your performance on the AT-SA. There's zero subjectivity or discretion on their part. If you scored above a 69.99% you were referred, if not then you weren't. And they absolutely won't tell you your score, so unfortunately you'll never know if you got a 69% or a 29% or anywhere in between.