Thank you for the quick response. This is my first shot at a RTW, and I appreciate your support.

I've cleaned up my itinerary a bit. How does the following look? (I am assuming that the "x" indicates a connection of less than 24 hours.)

ICN-xNRT-DEL-HKG-LAX-JFK-DFW-ORD-LAX-LHR-DXB-LHR-HEL-LHR-JNB-xHKG-ICN.

I've replaced CPT with JNB.
I would buy a separate ticket JNB-CPT (perhaps South African Airways) since I really want to see CPT, but do not want to forego the "A" service offered on CX apparently only certain days of the week JNB-HKG, but not at all CPT-HKG non-stop.