Other mistake: The deadbolt lock on Rhona Mitra's apartment door is installed incorrectly, with the key hole on the inside and the lever on the outside. (00:57:25 - 00:58:05)
Other mistake: After the veterinarian throws blood all over the floor, we see clean spots appear on the floor in the shape of Sebastian's feet as he walks through the blood. Somehow he never has any of it stick to the bottom of his feet (even when he's in the puddle).
Other mistake: Elisabeth Shue uses the blowtorch to set off the fire sprinkler in the hallway, but later there is a raging inferno in the lab with all the important data and equipment and there's not one sprinkler, nor any alternative "electronic equipment friendly" automated fire suppression mechanism such as Halon gas.
Other mistake: During the scene when Elizabeth Shue burns Kevin Bacon with the flame thrower, she has blood on her shirt. When she shoots the sprinkler head the blood is gone.
Other mistake: When Sebastian starts thrashing around he breaks restraints strong enough to hold an adult gorilla.
Other mistake: How does Sebastian breathe? He has a full head latex mask which covers his nostrils and doesn't have holes cut out. Many times during the film he has his mouth closed for long periods and has no way of getting air! He even eats a Twinkie without breathing.
Other mistake: When the subject is invisible, and the crew are attempting to return it to normal, when they inject the orange anti-serum into both the gorilla's and Caine's bloodstreams, it makes a noticeable "slooshing" noise as it rushes through their veins, which, technically, should make no noise at all.
Suggested correction: Presumably the military are interested because Sebastian's research could lead to advanced forms of invisibility technology, such as the ability to turn materials and weapons invisible for use in combat.
You cannot second guess the film like that. Sebastian is making no effort to make non-living items invisible and throughout the film we see that is not possible (why else would Sebastian have to walk about naked?). His research is on animals (and later humans) not "materials and weapons" and is based on their physiology, anatomy and metabolism. How would you inject a rifle or a tank with a serum? They don't have a bloodstream. The military wouldn't see any value at all in this research - maybe they would be interested in invisibility, but not if it was restricted to living creatures as we see here.
You know how easy it would be for an invisible person to infiltrate an enemy's compound undetected and take out powerful leaders or dictators? Especially if no-one knew the technology existed.
Easy? Impossible. First, they would be naked and unarmed. Too bad if you are trying to knock off Vladimir Putin - a taekwondo black belt - with your bare hands during a Moscow winter! Being invisible doesn't mean you can avoid making a sound or triggering a pressure plate or an infrared detector and so on and so on. Final answer - a naked, unarmed combatant would be about as useful as a chocolate teapot in any form of operation, covert or otherwise.