Here is my new itinerary

?-lhr-pek,bkk-syd-per,syd-chc,akl-scl-lim-scl,cjc-scl-puq,rio-mia-aua-mia-cun-mia-yul-jfk-lhr-?

Now, if I was to do the JFK-LHR leg on AA would they process the booking? I would then possibly change it later to a BA flight. I can't really do the outward flight with AA as they don't do anything in that direction that would suit as far as I can tell.

Any comments/suggestions?