No worries mate. It's a pleasure to try and beat the system which is set to burn holes in our pockets.

If you want to stick with EK for most of the way, I forgot to mention the option to fly to SIN on EK (MEL-SIN return in J about 3.5k) then fly SIN-DXB-ZRH on another ticket (5k in J approx), or take a short hop (SIN-KUL) for about $200 and catch the 3.5k fare from KUL.

This may induce many stop overs, but think of it as getting best value for your money (and getting to tour around a bit).

Finally but most importantly, if you fancy a trip to Auckland, you could pick up a AKL-DXB-ZRH round trip fare for 9500NZD (7.6AUD) which is very similar to what you've paid now.
If I were you I would go to NZ, since with that fare you could catch the A380 via Sydney which is a much better J than the 773 or the dreadful A340 currently used on MEL route.

You could add stopovers on this fare as indicated and keep the final SYDorMEL-AKL leg for a later date as indicated:
4 PERMITTED LIMITED TO 2 FREE AND 2 AT NZD 150.00 EACH. 1 FREE IN SYD INBOUND 1 FREE AT ANY OTHER POINT 2 AT NZD 150.00 EACH. NOTE - PERMITTED AT ANY TRANSFER POINT AS PER ATTACHED ROUTE MAP.
All the best!