Factual error: When the woman is giving birth, they show the baby just after they finally got her out. The baby is clean, no blood and other signs of a recent birth are visible. This is especially unlikely since the doctors had to "cut her open" to liberate the baby from the birth channel.
The Corps is Mother, the Corps is Father - S5-E13
Factual error: Bester lifts the blanket covering the bloody corpse of Harris' roommate. The man hasn't been dead long enough for the blood to dry, so there should be blood-transfer on the underside of the blanket - but there's not a spot on it.