Hello & welcome to FT.

First thought: note that you are only allowed two stopovers in your continent of origin, i.e. North America; therefore at least two among SJU, SXM, MIA and LAX have to be transits. You cannot stay for more than 24 hours in this case. If you plan to do PHL-xSJU-SXM-MIA-xLAX-... (i.e. no stopover in SJU and LAX) then it's ok.

I'm not sure whether you can do a surface segment from Australia to Asia, but I guess that's ok (rules forbid only transoceanic surface sectors).

Another potential problematic point: the rules only allow one international departure from the country of origin. If I understand the rules correctly, SJU-SXM and LAX-SYD are TWO international departures from the country of origin. The second departure ex-USA is possible only through a transit w/o stopover (e.g. SXM-xMIA-xLAX-SYD), and this exception applies to the US only. I'm sure the experts here on FT will be able to comment on this point.

Cheers