Yes, this is a valid Global Explorer (it is however an invalid Oneworld Explorer)
You have five flight segments in Europe/Middle East which the Oneworld Explorer does not allow (the max allowed is four)
The Global Explorer limits the number of stopovers per continent (max of four, except for the continent of origin where the max is two), and does not limit the number of flight segments per continent.

ps I'm currently in Fiji and loving it (again. It's my fifth time here )

pps You're not yet a true FTer
- only ten of the allowed sixteen segments, and well under the 34,000 miles allowed on a business class Global Explorer!
- nothing between DOH and AKL (DOH-CMB-SYD/MEL-AKL?)
- or between NAN and LAX (NAN-CXI/APW/HNL-LAX?)
- or between LAX and GOT (LAX-MIA-xLHR-GOT, LAX-SJO-xMAD-ARN?