It took me 4 to 5 weeks solid for ab at a round 8 to 10 hours a day, somedays more so not a hope you're doing it in 15 days. Losses hurt your rep count a lot, taking into account your faction, and queue times which can be upto 10 minutes per bg, i had around 500+ games played anyway when i reached exalted.
Wsg took me around 6 weeks but i suicided it, was doing around 18 hours a day for these weeks, thing is with wsg games you might not even get rep in some games since you need flag caps, so you could waste 20 mins just being farmed in the graveyard which looks mega suspicous when you're the guy on the board with 40 deaths and no kills ressing over and over. Some games you might get 1 cap but eitherway its a long grind.
Av isn't even worth mentioning, you can get that in a day or two.
Good luck