The red bag and Francesca.

I watched this film for a second time and spotted things I missed on my first viewing. When Lydia is talking to her "fan" after the New Yorker talk. Francesca is watching the interaction. Lydia comments on the woman's red bag, which we can assume is quite expensive. We next see Lydia and Francesca in a car on the way to the airport. Francesca glances down at the same red bag on the seat. Nothing needs to be said. It is implied that Lydia and her groupie had an "encounter".

The video of Lydia slamming Max at Julliard could only have been taken by Francesca. I think I can see her right at the back of the auditorium. She may not have edited it, but he sent to someone who did. Sharon?