Is this a valid routing for an award? All these are transits, less than 24 hours between flights. And how many miles would it be? I thought it is a valid round trip.

I have them researching it, but the service center (sounds like Philippines) say it's invalid. They are getting back to me shortly.

OUTBOUND
SYD-MEL QF
MEL-LHR QF (via Dubai - same flight)
LHR-MUC BA

RETURN
MUC-LHR BA
LHR-HKG CX
HKG-SYD CX

Is it a type of award? What do I need to do to get this through? This is J class if that matters.

Thanks.