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.
When they leave the bed and breakfast, Jake doesn't open the rear door of the vehicle to let the dog inside.
At 1:10:15 Rachel is viewing a wedding invite for her mother Noel Ellis and a Mr Charles Hayden. The date is set as Saturday 16th (or possibly 6th - it is partly blocked by Rachel's thumb) January 2004. In 2004 no Saturday fell on the 16th or the 6th.
The dog sees a hare and it is gray. They hare's hide is white is winter.
In the movie, Ellie asks Jake if Ava likes tomato soup. When he confirms that she does, Ellie gives her a bowl of soup which she eats. Tomatoes are toxic to dogs.
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.
Jake and Rachel sleep in a car in winter outside Jake's father house. Jake father acts as if he didn't know Jake was coming. It seems strange the father had not noticed a strange car parked on the driveway.
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.