When Orion in Hong Kong is watching Chuck's webcam, he presses a button to turn off his screen, but in the next scene, when he goes to the cupboard, the screen is on again.
When Chuck was kidnapped from Castle, the computer from Orion was left in the Castle with the address left for Sarah and John to see.
Next scene on location where Chuck was waiting for Orion, the computer was there at the apartment instead of the Castle.
(at around 2 mins) When Orion is on the computer looking at Chuck and shuts it down, the screen turns black. However, when he turns to face the wall, the same screen from before can be seen.
When Orion uploads the video surveillance for Chuck the webcam moves after we see General Beckman, Casey and Walker focused, but the video feed remains the same (just slightly zoomed).
In Hong Kong when Orion notices Fulcrum agents closing in on him, he turns his screen to the black message screen. When the scene cuts to another camera angle, the screen is back to normal and then black again in the next camera change.
Predator is hijacked by Orion's computer and flown automatically to bomb Buy More. In reality, Predators are hardwired to return to base when contact with human pilot is lost. Hijacking UAV Predator is impossible.