Welcome to FT, and no, it's not a legal xONEx route. By a longshot.
Remove all JAL flights (not yet a oneworld member) and any Malev or other non-OW carriers that have been included. JAL and MA can be counted for Global Explorer RTWs as of recently, but your mileage would way exceed the GlobEx limits.
You can only get to Asia from South America via Europe, North America, or SWP (via SCL-AKL/SYD).
THR is, I believe, Asia, which can't be re-entered after you get to Europe.
Asia/SWP - it doesn't matter which one you do first from N. America. If you go NA - Asia - SWP and then want to go on to Europe, you can't stop over in Asia en route from Oz to Europe. If you come from SA to SWP you can't transit through Oz/NZ to Asia and then come back to Oz/NZ before going on to Europe or Africa.
Any continent on which the airplane's wheels roll is a counted continent. Period.
Only two stopovers allowed in the continent of origin.
Look over the sticky threads and refer to the links to the OWE rules.