As Rachel is first driving away from the Turner house and suddenly brakes when she sees Ava running after her, her rear license plate is Connecticut, but the front plate is New Jersey.
Noel's diary is dated 1987 and she claims that Jake loved her to read Magic Tree House books to him. The first Magic Tree House book wasn't published until 1992, however.
The objective of Rachel's trip is to find and talk to her birth mother. But when she gets to know her address, she does not go to see Noel.
At 57:30, Jake and Rachel reach Scott's house. They only knew the city. They cannot find the house without additional help and it is hard to find people on the stroads during snowfall, especially in the holiday season.