When Zoey was kidnapped in the last season the date was May 7. We know this from the piece of paper that Charlie had in his wallet for the champange bottle celebration with her. During this episode she is clearly still suffering from the trauma and C.J. is covering her return as if she was found a week or two before. This would be just fine if the episode wasn't based around the Fourth of July which is a whole two months later!
H. Richard Greene plays Robert Royce, the Senate Majority Leader. However in a previous episode he played a moderate Republican Representative in the House. It is very unlikely that a moderate Republican would switch over to the Senate and be made the Majority Leader so quickly.
When the staff is discussing the Speaker's list of vice presidential candidates and the political ramifications, Bartlet exclaims, "Come on people, the door is closed!" meaning let's be honest about our motives, because no one else can hear us. But in the next shot the door is open!
Debbie: Mrs. Bartlet, I can't tell you how hard I prayed for you.
Abbey: I appreciate that.
Debbie: Well, you shouldn't. I'm not very religious. So there's the risk that my praying could be taken as insincere or even an affront, which, if it's a vengeful God, could have made matters worse.
Abbey: Well, it didn't, so maybe there's a clue.
Gary Cole makes his first appearance as Vice President Robert Russell.