When Susan Cabot enters the "solar energy room," she opens the door from her right-hand side. When Richard Devon follows her in, he opens the door from his left-hand side.
The satellite spaceship is spinning in different directions whenever it is shown.
Seconds before the end of the movie you can see a wire holding up a planet.
During the ambitious satellite-assembly sequence, as various sections lock together their shadows can be seen on 'space' in the background.
When the car crashes, a close-up shot of the grill rocking back and forth reveals the ground - it's clearly a floor and not a road, and it's also stationary - the car isn't moving forward.
The shots of newspaper headlines are clearly bits of printed paper stuck over the tops of unrelated stories, you can even see the edges of the added paper strips.
At 27:05 the shadow of someone's head (crew) appears across Doctor Van Ponder's shirt.
Most of the action seems to take place in New York, the home of the United Nations (and also based in views of the car license plates). But whenever a newspaper is flashed on the screen, it is always based in either Los Angeles or San Francisco. Further, all satellite launches in the 1950s were from Cape Canaveral in Florida.
You will see from the beginning of the movie that although days have passed the characters wear the same clothes. In fact Susan Cabot wears the same out at the beginning of War of the Satellites as she did in The Wasp Woman (1959).