Continuity mistake: Scooby and Shaggy are lying face down on the massage table when the zombies arrive. Shaggy has his robe lowered baring the upper back, but in the close-ups you can still see the robe up covering his shoulders perfectly. (00:28:00)
Other mistake: Throughout this, a running gag is that Fred can't drive stick/clutch. However, in "What's New, Scooby-Doo?" Series 2, Episode 6 "A Scooby-Doo Halloween," he yells at Shaggy that he's riding the clutch too hard at the beginning of the episode. If the Mystery Machine has a clutch mechanism, he would know how to drive stick/clutch.
Continuity mistake: After the alien abduction, Emmet plans to lead a rescue mission and opens the gate asking "Who's coming with me?" During the sequence, the shadows change completely. At first he is not casting much of a shadow, then it reaches the metal doors, then it stops midway towards it. (00:20:55)