In the hotel room, Mark is holding a coffee cup. After a cut he is holding Olivia's present and there has not been time for him to have retrieved it.
In the Army scene Tracy had extremely long hair. This is hugely non-military. Plus, she loses her right calf, not the left.
The pet store in Barstow displays a phone number with an (818) area code, which corresponds to the San Gabriel Valley in Los Angeles County; the area code for Barstow is (760). Also, the store's address features a street number in the 14000 block; Barstow has no street numbers nearly that high.
The attack on Tracy's Humvee showed a fireball in the interior. Tracy is then shown on the ground with no burns with her hair down. At the very least, the fireball would have burned her hair. Additionally, the loss of a leg below the knee would result in exsanguination (loss of blood) if not treated immediately, such as with a tourniquet. She does not apply a tourniquet. She is shown crawling away and somehow surviving two years.