Doesn't look like you got an informed rep.
- Awards are each way, and each way allows for one stopover at the North American gateway.
- LAX-NYC-HKG-SHA is not legal on a single North-America to Asia award; it exceeds MPM by over 25%. The LAX-SHA MPM is 7778, the 25M is 9722, there is a 300 mile deduction for carrier CX, but you still have 10989 cumulative miles after such deduction. If you try to ticket it, it should fail automation.