I just picked up the car (sort of tried to) today after another 23 days in the shop. Among other updates, they replaced all the rotors and brake pads, and got Car Play working. The pads were definitely pitted and glazed. They took a video of the noise and got Jaguar to authorize replacement.
I met with the general manager who was very sympathetic to our issues and request for repurchase. Jaguar is still refusing, and they could not replicate the Traction Battery Fault I had in April where it had to be towed. Despite 74 days out of service, they would rather go to arbitration than give in.
To everyone's amazement I went to drive the car off the lot and the display presented this error (Traction Battery Fault OK to drive with caution). However no go, no start, we all took videos. Needless to say, I have a loaner again and a motivated dealer doing what they can to get this resolved.