You can only do BGI like that on a US originated ticket if it is BGI-xJFK-SYD using the USA exception to re-enter the country of origin in transit. So as stated (with a stopover in JFK after BGI) it is not possible.
How about LAX-SJU-JFK-SYD-...
That frees up one more segment so you could do another round trip somewhere.
Last edited by christep; Jun 21, 2007 at 9:16 pm