Part of the tough love process is trying to understand the reasons that anti-social behavior is transpiring. I do think that you are over-reaching a bit by putting so much blame on the mother and the so called PAS.
Try to understand that one of her reasons for being upset over the summer thing is that she was taken away from her friends which, at her age and in her mind, are more important than "time" (be it quality or otherwise) with a parent or both parents.
My suggestion is that you stop concentrating on the PAS issues, and try to understand what your daughter is thinking, and why she thinks those things. To simply blame PAS without understanding the so called victim and their thought process creates an endless cycle.
My suggestion is that you step back a bit further than what you are now, and look at the big picture. Your daughter is very much part of the big picture, and to understand her and her actions, desires and self destructive attitudes and actions, you need to try to get into her mind a lot more than you are. In doing so, you also need to do the same with your ex - and try to teach her, or lead her subtly, to a recovery program for the whole family - not just your son and daughter.
Good luck. Hoping for the best for all of you.