If you listen very closely when Vincent, Dwayne, and Gladys are getting blasted by the D-pelter turbo, some of the background music and sound effects are from the Star Wars films. See more...
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Continuity: When the Depelter Turbo is used to capture Gladys, Dwayne and Vincent, the beam of light that goes straight up shows us that is is coming from a city (Chicago, perhaps?)just south of the tip of Lake Michigan. However, when RJ opens the bag of tortillas, the orange mushroom cloud shows his location as being farther to the west and south.
Plot hole: While RJ is explaining the humans' preoccupation with food and shows them the trash cans outside of Gladys' home, Vern picks up a diaper and RJ tells him that that "does come out of a wazoo". Then Gladys storms outside and chases them off. Gladys would never have a diaper in her trash can. She is shown as single without children, a tyrant, disliked by her neighbors and a neat-freak with OCD tendencies who would not likely entertain guests with infants. This is obviously just plot devices scrunched into one scene (the "wazoo" joke and Gladys discovering them in the neighborhood).
Continuity: In the scene where Gladys (the president of the Homeowners' Association), the exterminator man, and the bear are being hurt by the contraband contraptions designed to exterminate the animals, a bright light develops, and the animals watching have to put sunglasses on. When the light disappears, Verne and RJ have tan lines everywhere except where their glasses were. But in the next shot of the animals (they're celebrating), Verne and RJ's tan lines have disappeared.