When Big & Carrie get to the table at the Chinese Restaurant he takes off his black trench coat, lays it down & then takes Carrie's fur. In the next shot when Carrie says she is going to say hello to Mike Singer he is taking off the black trench coat again.
Carrie and Samantha are both pinning up Carrie's bus poster on a wall. On Samantha's side, one of the pins falls out and the corner of the poster rolls up. In the next shot the corner is neatly pinned to the wall but no one had corrected the poster.