When Charlotte points out Carrie's photo in the newspaper and hands it to Carrie and Samantha, the paper is bent badly at the spine. When they hand it back seconds later, it is smoothed and shows no sign of having been bent wrongly at all.
When the women are waiting outside the Yankee locker room to get their baseball signed, a Yankee player passes by them wearing uniform number 9. The number 9 was worn by the late Roger Maris and retired by the Yankees in 1984.
Carrie (and her plus 3) would never get full access with Carrie's press pass. First off, they would each need to get a credential and no major league club would give a credential to a sex columnist right after a ballgame. She, in fact, would have had to get the credential before the game even started,