Deputy Director Kersh gives a dissertation on a diary kept by King George III where he allegedly recorded on July 4, 1776 that nothing of importance occurred that day. This is a factual error, as King George III didn't even keep a diary - according to Arnold Hunt, curator of the British Library.
The second-in-command of a naval warship is called the executive officer and is a commissioned officer, not an enlisted man.
Possible damage to genetic material caused by a chemical such as monochloramine, which is used as a disinfectant in water treatment, is not the same thing as genetic engineering; it can lead to cancer, but it cannot be "programmed" to achieve a goal such as producing "super-soldiers".