One thing to watch for on your booking in addition to the restriction on transatlantic flights earning AA miles is the heavily restricted earning of CX flights for AAdvantage as well as the low percentage accrual rates on BA and Iberia.

For example, "L" fares on CX do not earn mileage on AA. Only "Y", "B" and "H" earn miles in AAdvantage. You may want to split your mileage programs. For example, when it is AA eligible send it to AA at 100% on AA and LAN and 30% on Iberia. For CX Asiamiles, "L" earns 100% for itself and 50% on BA. Of course, the BA segments then won't earn you Q-points for the challenge, but the CX segments are not applicable as is, and only CX will give you 100% for "L" on CX.

Have a good time 'round the world!