I modified it to:

28-Jun bkk-hkg cx2700
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-mia aa898
16-Jul mia-dca aa1006
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
25-Jul hkg-sin cx711
25-Jul sin-bkk ay98

I had to scrap the Delhi trip as it violated the two stopover rule. As a second choice, I would have liked to do bkk-bom and then hkg-dps-hkg-bkk (MR) as my four Asia segments. However, CX has scrapped the late evening flight on the hkg-bkk route, so I would have to stay overnight in hkg on my return from dps. Not worth a hotel night for the extra 1,000 miles.