I'm holding tons of other flight hoterl reservations and BA have taken 4 days already and not yet said if this routing is legitimate. Would the experts here kindly have a look and see what they think?

21 Apr AA1771 10:41 MCO - 13:20 SJU
29 Apr AA239 11:19 SJU - 15:50 LAX
05 May BA268 21:20 LAX - 15:25 LHR (no stopover)
06 May BA89 20:35 LHR - 07:25 NBO (Kenya)
-- ground segment --
17 May BA6419 14:00 JNB - 16:10 CPT
21 May BA58 19:55 CPT - 06:50 LHR
24 May BA2610 10:55 LGW -14:30 NAP
-- ground segment --
01 Jun CX292 12:50 FCO - 06:35 HKG (no stopover)
02 Jun CX504 09:10 HKG - 14:25 NRT
05 Jun CX451 16:00 NRT - 21:20 HKG
08 Jun CX735 HKG 10:40 - 14:20 SIN
18 Jun CX716 18:40 SIN - 22:25 HKG (no stopover)
18 Jun CX880 23:35 HKG - 09:50 LAX

I'm using the special rule that allows a transit without stopover in Europe to get to Kenya, then around the African continent before going back up to go around Europe.

I'd be grateful for anyone's thoughts

Julian