Many things are remotely possible, however 3 crew ignoring 4 warnings and 3 fuel quantity readings doesn't find its way onto my radar. Now, this might be remotely possible.....an undiagnosed TR control or drive problem occurring in cruise flight, that only manifests itself when AS reduces on approach to landing (the fin becomes much less effective at around 65/70 kts). Those that fly 135 will attest to the large pedal movement required at around that speed. IF, and it's a big IF, this occurred whilst AS is reducing and landing checks are being carried out, COULD result in an undemanded rotation and nose high attitude with further rapid reduction in AS leaving little if any time to get the thing into auto whilst getting rid of the power.