During the first scene in Newman's (Wayne Knight) apartment, he is wearing a wedding ring. He's taken it off for the rest of the episode.
When Elaine and Kramer go into Newman's apartment to get his opinion on whom should have the bike, Newman wears a wedding band. You can clearly see it at 14:52. Then, at 14:57, the wedding band isn't there anymore.
George (Jason Alexander) drives to the hospital when it's dark outside. When they get there however, the outside shot of the building shows the sun is shining.
Part of Kramer's anti-mooching system involves a pen on a string. He sets this down on the counter, attached to the glass bowl. The string is taut at first, then slackens in later shots without being touched.
Elaine enters Jerry's apartment twice without being buzzed in.
When George is talking about Susan's relationship to her cousin and her unborn child, he says that Susan and her cousin's child will be second cousins. This is incorrect - Susan and her cousin's child will be first cousins once removed.
Regarding the settling of the name of the new baby, George's sense of urgency is misplaced. The decision can easily be made after the child is born. The decision does not need to be resolved prior to the birth.