Welcome to FT. A couple of problems with your itinerary. You have 6 segments in Europe and 4 in N. America. The free allowance is 4 segments in all continents, except that you may have 6 in N. America.

Egypt is considered part of EUROPE for the RTW tickets and there are restrictions specific to Europe. You cannot fly to DXB if you fly to LHR from CAI. You have the return trip to IST, which is the best that you can do when flying CAI-LHR. Also, only 1 transcon flight between SYD/MEL/BNE and PER. You have 2. Your segments in Asia are not the longest, but if the cities are the ones that you wish to visit stay with those.
You have come close to the maximum miles for a 4 continent fare. With a 5 continent fare, you exchange short regional segments for longer intercontinental ones.