The shoes Carrie wears to Lily's recital are the shoes from the first film that Carrie puts in the penthouse apartment.
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a 2008-2012 13-inch MacBook Pro, continuing the tradition of her owning a Mac laptop, as well as a model several years out of date.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.
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.