They say that the temperature in outer space is absolute zero, which is -273 degrees Celsius. The temperature in space is actually about -270 degrees Celsius.
The "dark side" of the moon which is always facing away from the Earth is not always dark. It is really the far side and is lighted by the sun when the side visible from Earth appears dark.
The cryogenic testing chamber would have a virtually unbreakable substance like Lexan or safety glass for its door-window, not just obviously-brittle ordinary window-glass that shatters in huge jagged dangerous pointed shards.
Various light-angles of the Earth and Moon do not "match with each other"; in other words, there is sun-lighting from different angles at once in the same shot.
The Frisbee that Steve throws over onto the dark side of the Moon would not make a whistling sound in space.
Asteroids are not smooth elongated oval-shaped, like the photo at the beginning of the episode. Obviously just a cheesy image made from a "horizontally stretched" photo of Mars. Also, the asteroid would not have an orange sky, as there's no atmosphere.
Steve's "space helmet" is obviously just a cheesy "bubble-hooded spaceman" prop --- it's a simple roundish hard-plastic hood with a clear plastic swivel-down face-shield that's just loosely attached at its rear ends by two simple pivots on the sides of his helmet; it's not even an air-tight seal. Real space-helmets are usually massive blocky-shaped units that attach to the rest of the suit to form a continuous bulky cumbersome cocoon.
In the moon's "sky" the Earth is clearly visible, but there are no stars.
In scenes on the asteroid, the edges of the screen that serves as the backdrop "sky" are visible in several shots.
On more than one occasion, Rudy reminds Steve that his bionics cannot function in extreme cold. So how, while Steve was trapped in the sub-zero chamber with his defective spacesuit letting the cold air in, was he able to use his bionics to force himself out of there?
The mercs do not turn off their chest-lamps till they see Steve approaching them from the lighted half of the moon, so he would have seen the small distant points of man-made light in the darkness ahead and known that something was up; the moon was supposed to be deserted.