At about the 59 minute mark, when Melody is telling Nina what she was doing when she was her age, she says she chose to go to Vegas one summer. Nina (Marisol Nichols) tells Melody that she "danced on one of those neon signs". Marisol Nichols starred as Audrey Griswold, in Vegas Vacation, in 1997. In one scene, Audrey (Marisol Nichols) famously danced on a neon sign.
The puppy is named Betty as is mentioned in the movie by the young sisters.
When Melody and Adam go to the tree farm to cut down a Christmas tree, Melody says the tree she has chosen is a live blue spruce, but it is actually a fir tree. After Melody saws the tree down and they get it home and decorate it, there is a close-up shot of Adam hanging an ornament. That shot reveals that the tree is now an artificial green spruce tree.