You have two huge problems, one of which is causing the other. QF no longer flies PPT-SYD on QF metal. Because of that, you would need to go through North America. This adds a continent and screws up your segment totals for South America.
It is also difficult to tell what you are trying to do in South America, but it looks like you are flying into Quito, overlanding to Guayaquil, flying to Lima through Santiago, flying to Rio through Santiago, and flying to Easter Island through Santiago. If this is right, you have 6 segments, and you are still stuck in Easter Island. So add a 7th to get off.
So you have 4 segment charges, and you have to add a 5th continent unless you want to change a few things and do the EZE-SYD flight on Qantas. Then you add segments, but drop the additional continent.
[This message has been edited by Darren (edited 06-03-2001).]