trav,

If christep got your itinerary correctly, you might want to consider starting the trip in the UK. The LONE4 fare from the UK is about 270 EUR cheaper than Sweden (1,549 GBP = 1,807 EUR, 21,500 SEK = 2,076 EUR). I'm not sure if taxes or fees change this equation. The big advantage is not savings, if any, since you still need to get from GOT to the UK; however you get two extra segments.

Combine this with gaining a sector by dropping the LGA-JFK sector (as suggested by Gardyloo), and now you have three sector to play around in North America (you are only using two right now). If you can reverse GUA//PTY you could do PTY//GUA-JFK (AA 0928 has one stop, but should count as a single sector).

So your trip will look like:
GOT-LON (not part of RTW)
LHR-MAD-GUA//PTY-xMIA-JFK-(na1)-(na2)-(na3)-xHKG-PER//DPS-xKIX-HKG-KTM-xHKG-LHR
LON-GOT (not part of RTW)

If your na3 is LAX,SFO or HNL you could get to PER via SYD and replace the first xHKG