At this point, don't worry about the stop overs. I think some people have taken your original topic/question a bit off track.

But for your reference a stopover would acts sort of like combining two trips into one award ticket. For example a flight to Saigon on Cathay Pacific would have a layover in Hong Kong, and normally you would fly from Los Angeles to Hong Kong, have a couple hour layover in Hong Kong (never leaving the terminal), and then continuing on to Saigon. If you added a stopover, then you would fly from Los Angeles to Hong Kong and spend a couple of days or weeks there. Then you would continue on from Saigon to Hong Kong where you would spend a couple of days/weeks. Finally you would return home with the normal couple hour layover in Hong Kong (not spending extra time there). Instead of having to buy two separate tickets or awards, you can book it as a single trip from Los Angeles to Saigon with a stopover in Hong Kong.

Again, that's just an example of how a stopover would work, and I don't know if you can actually do this or not. For now don't worry about the stopovers, open jaws, or other types of bookings you could potentially do. Just figure how you will get the miles, and keep reading here at FlyerTalk. You'll pick it all up soon.