When taping up their wrist in the containment area, Alan's right hand gets taped up twice in a row. The second time his hands are completely untaped even though they clearly got taped up the shot before.
When embedding the tracking device into their palms, the man holds the device straight up and down. However, in the close up, the tracker goes in at an angle.
Upon entering the facility for the first time they clearly ask the characters for their left hand to inject the tracking chip which gives them access to the entire base. However, when they pull the body from the air shaft after his hand was cut off, it was his right hand that was missing which the sick doctor then used to gain access to the lab.
When Dr.s Walker and Jordan are examining the blood sample and find an organism, Dr. Jordan exclaims that it is "only 15 nanometers". First, on the screen, the scale bar would indicate it is closer to 15 microns (length, maybe 0.5 microns in diameter), second, the practical resolution limit of this kind of instrument is 200 nm and that would not be nearly as clear an image. The only way to see an object this small would be to use an electron microscope, which requires a sealed vacuum chamber and so cannot image living organisms. As well, high magnification in an optical microscope requires using an oil immersion lens which has a very short focal length meaning that the objective (lens) would appear to be nearly touching the specimen. You can see that there are several inches between the stage, where the sample would be, and the magnification lenses.