When Elizabeth is chatting with Young Hee at her table, Elizabeth's hands are in different positions on the cup and saucer every time the camera angle changes.
The VCR that Elizabeth uses in Yung Hee's home has the VHS HQ brand. HQ was invented by JVC in 1985. That is two years after the events portrayed here.
At the start of the episode when Philip is teaching Paige to drive, they drive by a roller coaster, indicating they're at an amusement park. That park is Playland in Rye, NY and the roller coaster is called "Super Flight" which first operated in 2004.