As long as I know QR 787 doesnt have crew rest bunks, but remember that in some countries and if aviation authority approve it, you can block 2 business sites and use it as a Crew Rest.
On the other hand, 787 with a 8000miles range is not designed and shouldnt be used for 5/6 hours flights, but remember that this is a brand new aircraft on test!!! so maybe in the future will do long haul routes as it was designed for, but with 250 pax.( low demand routes)
777/787 mix fleet?
Just time will set 787 where has to be.........or not!