You can add an extra Euro trip to anywhere except the countries listed below

Algeria Armenia, Azerbaijan,
Bulgaria, Cyprus, Georgia, Greece, Israel, Macedonia, Malta, Morocco, Funchal, Portugal,
Romania, Russia, Tunisia, Ukraine, Yugoslavia, the Middle East

Your JFK-LAX will be the only 3 class flight on your domestic route. Although the other flights will still get F tier points as AA domestic have mostly F and Y configured aircraft. Note that it might be tricky getting A class availability on the JFK-LAX.

The JFK-LAX and DFW-HNL are the only two that will earn 180 TPs. The rest are all under 2000 miles and will only garner 60 TPs.

If I were you I would try to work in a JFK-YVR or visa versa on CX rather than the trans con on AA (see my TR link in my sig for my experience).

Also now you have opted to AONE - you do realise that QF don't fly F from HNL to Australia?

If you don't really want to go to HNL you could go via SFO, LAX, JFK on QF

You could go for something like:

MRU-LHR-AUH-LHR-IST-LHR-MIA-JFK-YVR-DFW-DTW-DFW-LAS//LAX-SYD//CBR-PER-MEL-AKL-SYD-JNB-MRU

IMHO YVR is the most beautiful city in the world and well worth spending some time in if you haven't been before. Downside of this plan is having to clear US Immigrations twice (although the experience is generally not than painful in YVR) and you must deal with Canadian Immigrations as well.