During the Christmas tree lighting in the town square, Kate's boots keep changing.
Not every tamed horse is capable of being put under harness and pulling a carriage. When Kate evidently redeems her gift certificate of horseback riding for a horse for the carriage, this is the glitch -- these two horse skills are quite different and do not always exist in every horse. Horses must be trained to pull the weight of the carriage behind, which is very different from simply carrying someone riding astride.
Kevin's friend describes his camcorder as having a 32.2 megapixel sensor. Camcorders are not described in those terms, and any photography/video professional would know that. He would describe the camera as "8K" or "6K" or "4K" or (less likely) "1080p."