That's a lot of miles if you are travelling discount within Canada. Since you are travelling before Jan 1, you'll be getting 50% on all discount fares. There's no way you could get 4K Q miles travelling domestic on one trip.
You'll have to think about the US instead. The best fare that I could find from Moncton is YQM-LAX $525 CAD departing on Dec 24 and returning Dec 25. If you want Dec 29-30, it's possible but you'll have to pay more.