After Joy passes the relay baton to her teammate during the track meet and she's chasing the Lord a-Leaping with the ring, a close-up shows her running still holding the baton.
The list of prizes is obviously set up as a joke, but one of the prizes is 500 shares of Fry's Electronics: not only did Fry's go out of business in 2021, but it was also a privately-held company and no public shares ever existed.
In the "twelve drummers drumming" scene, Nick speaks to the band leader but his mouth does not move.
At 144:34 the family responds to a ringing phone, but there is no sound effect of a phone ringing.