Good luck. Some people have reported experiences where the *A RTWMC gives one distance but when you try to book it the rate desk has a different calculation. If that should happen (since you are so tight under the 29K limit), remember that you can always approach a different company (so long as they have at least one flight in your itinerary) and ask them to figure it. Of course, in your case that might be problematic, since the whole trip appears to be on only three carriers (and does LH even have an actual presence in Oz?).

cheers,

Henry