When the two trainers are in the Noah's Ark office talking about the tranquilizer gun, the camera dollies towards the door and what appears to be the jeans of the crew member pulling the dolly are visible several times at the bottom of the screen.
When Julie Sawyer first takes the dog to the animal training center, Carruthers is on the phone but tells her to sit down. To his right, almost out of frame, you can see some fingers moving. Most likely the dog's trainer making signs.
When the dog's owner shows up at Julie's house, he rewards her for finding his pet with an unwrapped Whitman's Sampler. That boxed candy is always sold with cellophane wrapper - presumably the filmmakers thought it would be more dramatic to have lid come off and candy fly all over the place when Julie threw it back at him.