At the end of the movie, when they are examining the meteor crash site, Officer O'Dell picks up Iraq Jacks' dog tags with no damage to them. The meteor would have at least left some burn marks on the tags.
The matinée lists Twelve Monkeys and Strange Days as the films currently showing, but neither film was showing nationally as of July 1995 when the story is set. Strange Days premiered in October of 1995 and Twelve Monkeys came out in January of 1996.
After the church burns down, Samantha talks with Trudy in a bank. Behind Trudy and her co-worker is a door with a nameplate, reading Kathy Saques. The scene cuts back to Samantha, and then to Trudy and her co-worker again, where the nameplate is then blank. It subsequently returns to being filled out again after another cut.
Sam has obtained a new edition of the Philosophy of Time Travel book without her late brother's help, as he never got the book in the "new" timeline. We don't know how she got it, because that detail is not relevant to this story.
The movie is set in Summer 1995, but we see movie announcements, car models, and currency units which didn't exist at that date. This is in keeping with the movie's themes of time travel and altered reality.