I would strongly recommend you not call unless you have a pool letter. Then I would only do it if you were in the pool for an extended period of time.
Internal recs are highly recommended but not required. Employees can put them in for you through a system set up at UPS. They will be printed out and in your file when you interview. I know that because I saw them and they were talked about in my interview. I was also asked if I knew others there. The names I mentioned were written down. I have no idea where that went.
The resume upload isn't that big of deal. I couldn't do it on my initial application. After I received the assessment I received an email asking me to email them a copy of my current resume.
Good luck and blue skies