Ryan touches the computer they are examining says that it is running hot. He removes the side cover to find out why. The processor fan is completely plugged with paper. Ryan says that this is why the hard drive is so hot. The case fans would still be running so only the processor would overheat and not the hard drive. For this reason it is also doubtful you could feel any abnormal heat by touching the case. With the blockage they show, the CPU could not operate for more than a couple of minutes before it is either completely destroyed or heat protection would cause it to shut down.
There are two people looking at love letters that were hidden inside a computer. But they are in front of the screen that a projector is sending the images to. They wouldn't be able to see, let alone read, the writing of the projected writings. They would have to be behind the projector in order to read what was on the wall.