To the experts in pricing and rules..I need your assistance.

I tell you what are my needs first, and in the second part what are my thoughts. I would appreciate your advice/comments

Goal: (all Stopovers, does not include connections I may need) - Business Class. Departure: July 16 - Return: August 6.

JKF-LAX-SYD-HKG-SIN-CGK-DPS-ICN-PHT-BKK-JFK

Thoughts:
Split in two reservations:
1 -Jakarta/Bali; Phuket in separate tickets:
ie: SIN-CGK-DPS-SIN & BKK-PHT-BKK

2 -Thus, the rest of itinerary could be:
JKF-LAX-SYD-HKG-SIN-ICN-BKK-JFK
Considering:
In Singapore, I connect to Ticket #1 - Go to Jakarta and Bali, but need to return to Singapore to connect to flight to Seoul. No problem doing this dispite this increase an extra connection in the flight from Bali-Seoul.
From S. Korea I flight to Bangkok using this ticket instead of going to Phuket direcly. I do RT Phuket with the prior ticket.

For this "Second: ticket, I considered 2 options:

2A -Pacific Circle. ( consider I pay extra for JFK) - Don't know if JFK-LAX considered against the 29K mileage cap - If yes, this does not qualify.
JKF-LAX-SYD-HKG-SIN-xHKG-ICN-xHKG-BKK-xHKG-xVancouver-JFK.
Flights: AA-QF-CX-CX-CX-CX-CX-CX-CX-CX-CX

2B -RTW (Pay extra segment in Asia since there are 5.)
JFK-LAX-SYD-HKG-SIN-xHKG-ICN-xHKG-BKK-xLHR-JFK
Flights: AA-QF-CX-CX-CX-CX-CX-CX-BA-BAorAA
I guess this would be a DONE4 ?
Also question: if the last segment (LHR-JFK), I do xLHR-MEX-xMIA-EWR, and LHR-MEX I flight in BA, does this segment counts for mileage in AAdvantage?

I would apprecaite your comments, and/or other ideas to lower the price of my goal itinerary. Order of Stopovers are not flexible -- Connections and flights are.

Thank you!