Other mistake: Mike's professor friend finds the key to the mystery (the symbol of an ancient Celtic Goddess, called...the Celtic Goddess?) in a non-so-ancient text; "The Legend of Good Women" by Chaucer. Hardly the text to use to dig up for ancient pagan rituals and forgotten deities. (01:04:45)
Other mistake: The scene with Nicholas Cage browsing with his wife a series of pictures of missing children has a fundamental flaw; the idea is that "most" children who go missing on any day other than Halloween are found, but on Halloween the % drops to "just half." Look at the screen while Cage is saying this; it's not at all what it is shown. The cases solved in the first 'random' day (they have a red stamp on the kid's pic) are way less than 50%, not even 30%. (00:45:30)
Other mistake: To prove his point to his wife, Mike searches a database for a certain date. It's the date of their son's birthday. Cage says "on July 15", but if you look at the screen, the search is for "past 6 years, April 27." It's a double mistake, since he then does another search, which produces different results...but on screen, the date is always the same one. (00:45:30)