The scorpions that the Skeleton Man places into Ilana's room are Emperor Scorpions, which are actually quite harmless (except to those with allergies) and are often kept as pets
Close to the end of the movie when Charlie Sheen wants to transmit the video from the control room, the power fails. He looks outside and sees an electricity cable has been cut. He then decides to go to the dish itself. Later on, the electricity in the control room works just fine.
Towards the end when Charlie and the girl run into a building, Charlie has a key to the deadbolt on the building door. But the deadbolt is installed wrong. It is a 'Kwikset' double cylinder deadbolt and the screws that hold it on the door are on the outside of the door, not the inside. Anyone with a screwdriver could simply remove the lock and open the door.
When Zane is talking to Gordian about the signal, Zane smashes the gyroscope. But a few seconds later, the top of the gyroscope can clearly be seen revolving in the bottom right hand corner.
Ilana Green: You know, I must say, Zane, I really enjoyed our talk tonight. It's uncommon for me to find someone who can actually grasp the things that I'm passionate about.