#1 You dates have to be flexible. It's almost May now. Booking in F/J awards required advance planning. 3 months may be insufficient unless your dates are flexible.

#2 If you want to use only AMEX MR points but nothing else (i.e. no purchase of tickets, no other award redemption), keep reading, a solution is provided below with some constraints

#3 I am assuming you are talking about AMEX USA b/c don't forget not everybody here is American and AMEX has different programs throughout the world.


Solution:

1. Transfer your AMEX MR points to TWA before July. Soon, your TWA miles will be converted into AA miles.

2. Once the converstion in completed, try to book a Oneworld Round-the-World Business Class ticket. In your case, the total mileage for LAX-SYD-MEL-ADL-SYD-HNL-LAX = 7400 + 400 + 500 + 700 + 5018 + 2450 = 16,468 miles approximatively

3. That total distance would fall in zone 6 = 130,000 AA miles for Business Class.

4. You can consider adding more flights/destinations such as Perth, Australia on the Indian Ocean side = marvelous beaches and one of the best looking sea/ocean you will see on this planet or go pay a visit to the Kiwis, NZ since Zone 6 allows you to travel up to 20,000 miles of distance.

5. Note there was a segment from Melbourne to Adelaide which is compulsory because it's a Cathay Pacific flight that you are going to take to make your trip applicable for a OW itineary.

6. All flights are on Qantas except HNL-LAX on AA, and MEL-ADL on CX.

Any questions, don't hesitate to ask but I am very busy, I'll try to get back to you as soon as I can or you can ask help to other willing FTers.

Hope this helps.