Revealing mistake: In the scene where Captain Mowser gets his hands glued to his head, he walks out into the locker room naked. In wide shots, you can see that he is wearing a nude coloured body suit.
Continuity mistake: In the beach chase scene, the sun is on the right side of the truck, in the next shot the truck goes flying off a pier with the sun on the left side of the truck.
Character mistake: When Tackleberry tells Mahoney that he thinks he's in love with Kirkland, he asks Mahoney to keep it "10-35." 10-35 is radio code for backup. Since Tackleberry wants his feelings for Kirkland to be strictly between Mahoney and him, he should be telling Mahoney to keep it 10-36, the radio code for confidential information.