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Welcome to FT!

I can't help very much with your questions, but I do know that AA offers a similar multi-partner award called an "Explorer" award. (In fact, I think every oneworld carrier offers a similar award.) AA's Explorer has many special rules and restrictions, such as not being allowed to connect or stop over at your origin or (final) destination city. And AA's Explorer only permits one open jaw; your proposed itinerary has several.

If no one here is able to post the rules for BA's multi-partner award, I would suggest calling the BAEC Service Centre back (not the BA general reservations number), and asking for the rules on such an award. (Although BA's award rules might be nothing like AA's, you might still want to take a look at the Explorer award thread in the AA forum, just to get an idea about what type of restrictions to ask BA about when you call them.)

Good luck, and be prepared for sticker shock when BA quotes you the surcharges on your award ticket!