I just want to post an update in case someone comes across this post in the future.

I went to 4 travel agents here in Canada and none were able to help me. Maybe the commission is really low compared to the amount of work required. Anyway, I still couldn't find direct phone numbers to a local EK office either in Canada or Australia, so I called the 1-800 reservations number again. This time the agent put me on hold for about 5 min when I asked to get the pass, but she came back and was able to do it.

I wanted SIN-MEL-CNS-SYD-BNE-SIN, and at first I was told that MEL-CNS was not a valid sector. I pointed out that it was in Zone 4 listed as CNS-MEL (alphabetically), she was able to find it, thanked me, apologized, looked up the flight, then said there are no seats available either in economy or premium/business. I don't understand why because there are still tickets available on DJ's website at normal prices (including the airpass site). I changed the routing to SIN-MEL-SYD-CNS-BNE-SIN instead. The EVAP sector pricing was in USD, but since SIN-AUS is priced in SGD, the sector pricing was converted to SGD and added together with the EK price. Came to $1197.10 SGD which is what I was expecting. I asked the agent to also price out if I had the SYD-CNS segment in premium/business. It's supposed to be $130 USD more, but the total price became $1800 SGD something so I'm not sure that premium pricing on EK.com is still accurate. I declined and kept it in Y all the way. I was sent an itinerary by email to look over and confirm. It took another 20-25 minutes to finish up the ticket as it had to be done manually, the whole call took about 75 minutes.

In the end this trip cost $150 SGD less than QF, QF doesn't fly overnight from Australia to Asia so EK is better for me based on schedule, 30 kg baggage on EK is better than 23 kg on QF, and all my DJ flights will be on new 738s