The university where all the action takes place is "Miskatonic". When West is reanimating the dead cat Rufus, there is a close-up of a bottle of chemicals from the university, spelled "Misketonic", with an 'e'.
When Dr. Halsey is killed, two of the fingers on his right hand are bitten off by a re-animated corpse. Later in the film in the padded cell, Dr. Halsey places his right hand on a wall, and all his five fingers are showing.
When West picks up the cat in the basement and drops it, it is a fake cat, the cat hasn't been dead long enough for rigor mortis to have set in to keep it in that position, or to cause the clunking noise the cat makes on impact with the table.
We see West shoving the drill through the cadaver's back and exiting his chest. The chest itself is a fake with the actor playing the cadaver holding on to it and shoving the drill through himself. We see this for ourselves when the two actors accidentally lift the fake chest high enough to reveal the real body underneath.
When Doctor Carl Hill (David Gale) instructs the hospital orderlies to restrain the crazed, "re-animated" Dean Halsey, they tackle him hard into the wall of the "security chamber", which bends and wobbles and clearly behaves like the false wall of a movie set.