Other mistake: In the kitchen when Peter is playing with the paddle ball and then Brian confesses to giving Chris the idea about joining the Peace Corp, there is a picture frame on the wall behind Peter. In this is various pictures of the family including Brian. In this, Brian is as a yellow dog despite being white in the series, and even in the scene depicted.
Other mistake: When the cut scene goes to Star Trek The Next Generation, all of the rank pips on the crew's collars can be seen on their left side. All Starfleet rank insignia, with the exception of Admirals in this series, is situated on the right side. (00:18:45)