The shoes Carrie wears to Lily's recital are the shoes from the first film that Carrie puts in the penthouse apartment.
Charlotte's new dog is named "Richard Burton," after the famous Welsh actor. This is a nod to her former dog, named Elizabeth Taylor, as Taylor & Burton were famously wed. Twice.
Carrie can be seen working on a 2008-2012 13-inch MacBook Pro, continuing the tradition of her owning a Mac laptop, as well as a model several years out of date. In the original series she had a PowerBook G3, while in the films she had a PowerBook G4.