Columbia Pictures' logo dissolves into animated footage of the lady with a torch character rocking out, one of several films made in the 1960s (Zotz! (1962), Cat Ballou (1965), Strait-Jacket (1964) and, some years later, Thank God It's Friday (1978)) in which the logo was comically altered to fit the theme of the movie.
The turtle that zooms off a table and out a door is clearly a prop mounted on top of a dolly several inches thick that holds the turtle above the table and floor. The prop must have wheels as it slides so smoothly across the floor.
When Rosie originally confronts the Shriners, she twirls her shawl and tangles her hands in the ends. Viewed from the side, her hands are untangled and the shawl hangs freely at her sides.
When the turtle accelerates up some steps and out of an open door, you can see a clear ramp over the steps that allowed the turtle prop to slide cleanly up and out.