Yes, you will be at +/- 86K q-pts with that routing. If you go JFK-HKG, then do Asia, then SWP, finishing with MEL-LHR, I estimate you could add another 2-3,000 miles (x 1.5 q-pts) to get up to around 90K q-pts.
As for when to do it, the main seasonal issue will be ANC - June-Sept only (on AA metal). The rest will be up to you. As far as I can tell your itinerary is legal.