QF 3950 is a codeshare service operated by Jet Airways and cannot be used as part of a Oneworld Explorer or Global Explorer. The Oneworld Explorer ticket excludes all codeshare flights operated by carriers that are not member of oneworld, whereas the Global Explorer allows you to use Qantas codeshares operated by some non-oneworld airlines, but unfortunately not by Jet Airways.
An option might be (10/1, operates Mon, Thu, Fri, Sun only):
CX 750/CX 713 via Bangkok (dep BOM 4.50am, arr SIN 3.10pm); there is a 1h20 layover in BKK and this should be OK, but you might want to check with CX to be sure.
There appears to be no oneworld operated option on 10/2.