Due to a change in schedule, I have modified my itinerary:

28-Jun bkk-hkg cx700
28-Jun hkg-bom cx751
1-Jul bom-lhr ba138
1-Jul lhr-dxb ba107
4-Jul dxb-lhr ba106
4-Jul lhr-lin ba570
13-Jul lin-lhr ba569
15-Jul lhr-lax aa137
16-Jul lax-iad aa76
19-Jul dca-dfw aa2245
19-Jul dfw-sju aa1894
19-Jul sju-jfk aa1218
20-Jul jfk-syd qf108
23-Jul syd-per qf565
23-Jul per-mel qf802
23-Jul mel-akl qf39
24-Jul akl-hkg cx108
21-Nov hkg-del cx753
25-Nov del-hkg cx752
25-Nov hkg-bkk cx703

I made the booking with the incompetent BA RTW desk through the US number:
-The agent mentioned that the desk is open 24 hours but when I call outside of 9AM-8PM I get a recorded message saying it is closed.
-First agent said I cannot do BOM-LHR-DXB since I am backtracking to my continent of origin
-It has been four days since I booked this, but their rate desk has not yet confirmed it.

I subsequently noticed that the itinerary has 3 stopovers in the country of origin. Perhaps this is what is causing the delay in approval? Is the two stopover rule requirement there from any continent of origin? The only rules I have are for travel originating in the UK and Ireland (www.tarom.net/ba/explorer).