Just be aware that you can liberate 2000 miles by ending the itinerary in Perth instead, and picking up a separate ticket PER-MEL on Qantas.

Or if you both start and end somewhere closer to SIN, eg PER, it will reduce the STAR-ticket mileage below 26,000 and to a lower price level.

Why PER? Yes you could save even more miles by using Cairns or Darwin as jumping-off points. And if you're only concerned to save a few miles, you could start or finish in SYD (shock, horror) and get a separate ticket to MEL.

But the schedules between PER and Europe are better. SQ has a daytime flight PER-FRA departing 7.45am arriving 8pm. And coming back you leave Frankfurt 10pm and land in Perth at midnight, and sleep in a bed rather than get on that second successive red-eye SIN-MEL.