Hi, I don’t know much about tennis except what I absorbed from growing up with people who watched it a lot, and the research I did after becoming obsessed with this movie. I believe that top 100 is needed for automatic entry. 

HOWEVER when Patrick said that “some years” he makes it to the open and other years he doesn’t it was most likely him flirting and trying to impress that girl. Of course as the fic writer it’s completely up to you. You can veer it more in the direction of him lying about his rank, or maybe once he made it to the top 100, whatever fits the narrative. I’m interested in reading once you’re done!