Just purchased a Diamond subscription, and have a couple questions regarding award search:

1) Can I search, say LAX->HKG, F availability from Dec 8 - Dec 12, or do I have to do one search for each day?

2) If my trip is from SEA -> PVG, but I want to fly on CX through HKG, should I search SEA->PVG, or should I do 3 searches like SEA->LAX, LAX->HKG, and HKG->PVG?