Continuity: We see the new moon very close to the sun (though showing far too much crescent for such a small angle). A few scenes later, Brian Marsh is looking at a full moon, then a few more scenes later, we see the new moon again near the sun. That night, we see the full moon again.
Factual errors: The moon/sun configuration we see repeatedly could not last even a single day, yet it is shown on several different days.
Factual errors: The student radiologist Susan Cabot says she has been "carbon dating the corrosion on the lid" of the cylinder, and "we're talking about 7 million years". Carbon dating is used to determine the age of materials, usually organic, containing carbon, not metal corrosion substances, and is only useful for about 60,000 years.
Factual errors: (At 12:25) The Priest (Donald Pleasence) tells Dr. Birack (Victor Wong) that the Catholic Church containing the demonic fluid, located in Los Angeles, was built in the 1500s by Spanish missionaries. The Spanish did not colonize California with missions until 1769, with the founding of San Diego by the explorer-missionary Fra Junipero Serra. The mission where filming took place, Mission San Fernando Rey de Espaņa, was not founded until 1797.