(at around 30 mins) When she is telling her story about the play to her dad who is trimming apple trees, there is a shot of Jessica with an apple in the lower right hand corner of the screen. The apple is not attached to the tree by the stem, it's clearly tied to the branch.
When we first see the close-up shot of the reindeer setup (with Prancer intact) being raised up downtown, one of the railroad crossing gates is up though we can hear the crossing bells ringing and a train approaching. The following long shot shows the crossing gates completely down with their lights flashing.
While Jessica and Steve are at church with Aunt Sarah, John's at home reading the paper. We see Prancer walk past one window behind John and then one on the other side of the room. It starts to snow but at different times, there's snow falling outside one window but then no snow and sunnier outside of the other.
The reindeer playing Prancer is clearly female, even though she is referred to as "he" in the film. Both male and female reindeer have antlers, though a female's are smaller and daintier than a male's.