It turns out that the honey business isn’t as sweet as it sounds: In the new movie “The Rivals of…It turns out that the honey business isn’t as sweet as it sounds: In the new movie “The Rivals of Amziah King,” beekeepers steal from each other, poison rivals’ insects and rip folk off. “The Rivals of Amziah King” isn’t as sweet as it thinks it is, either. Patterson likes to remind viewers of his Oklahoma bona fides, but much of the overlong movie was shot in Alabama. And that hints at what’s wrong with “The Rivals of Amziah King” — it just doesn’t feel authentic, either in place or in story. “The Rivals of Amziah King,” a Black Bear release that hits theaters Friday, is rated R by the Motion Picture Association for “language and some grisly images.”