This is quite a challenge. And I appreciate your feedback. I am again changing the itinerary and hope this falls within the rules:
syd-akl,akl-lax,lax-ord,ord-sju,sju-pos,pos-mia,mia-bos,bos-jfk,jfk-hel,hel-mad,mad-cai,cai-lhr,lhr-bom,bom-hkg,hkg-bkk,bkk-sin,sin-per,per-syd
Ord-sju is CX, sju-pos-mia-bos-jfk is AA.
Does this look okay?