About 40 minutes into Part I, Kate Jackson and Dean Martin are standing on opposite sides of a gambling table, yet the same male extra is standing to the right of each of them (i.e. left side of screen) in every shot back and forth.
Sabrina gets a perm before going to Vegas, which comes and goes in all subsequent scenes. Kelly gets in her car to to visit Mr. Haines at the stock car racing, and arrives there wearing a completely different outfit.
Sabrina and Bosley shoot at the wheel of the black truck, but the close up of the tire exploding is of another (red) vehicle and not the black truck.
As Joey January arrives at the Tropicana, the black Cadillac driver's window is down. Yet, a moment later when the rifleman fires from the all-black pickup truck, it is up, shattering as a result.
As the Angels and Bosley are headed to Las Vegas, their ascending plane is a two-engine jet aircraft (likely a Boeing 727). Yet, the plane that lands in Las Vegas has four engines (a Boeing 707).
The can-can dancers long-shots would appear to be stock footage, as they are in much lower resolution than the crystal clear quality of the rest of the moving images, such as when they cut to close-ups of Kelly smiling and fanning her can-can skirt, in the background.
Location is Tropicana casino, but the gaming chips are labeled "Capri".
On Vega$ (1978), the name of Robert Urich's character is spelled Dan Tanna. The credits here list him as Dan Tana.