ElmhurstNick,

You have way too many stops and segments in NA. You are only permitted two stops in your continent of origin of which one must be an intercontinental gateway.

In addition you will need to obtain a Canadian address if you want your CX miles to count toward AAdvantage.

Assuming you elect to do a RTW a good start may be

YYZ - LAX - LHR - PRG
PRG - LHR - DXB
DXB - LHR - SIN
SIN - HKG - NRT
NRT - HKG
HKG - LAX - DFW - ANC
ANC - DFW - DTW
DTW - ORD - YYZ

By including DTW as your last stop you can use the last dtw - ord - yyz segments to get you to Canada for your next RTW.

However, my guess is there is a cheaper non alliance RTW fare that will get you to the cities you want, but will not offer the mileage maximizer the 1-World option does.

rich