I'm currently dealing with AAdvantage on a QR flight from June 28. QR denied it, the response was that they couldn't determine whether I was on the flight. Emailed a photo of my boarding pass to AAdvantage, they're following up. I expect that I'll win this in the end. SAVE YOUR BOARDING PASSES.
One other thing that was a problem for me that the AAdvantage phone rep filled me in on. On long (many flights) itineraries, sometimes flights post but you can't see the posting in aa.com. You have to call to verify. It's a system issue, and they're aware of it, but I get the impression that there are no current plans to fix it. So I called last night with 20 boarding passes for which I saw no posting, but as we went through them, she satisfied me that they had, indeed, posted even though I could not see them on aa.com. Of the 20 I started with, I'm now down to the one QR flight from June.