I'm trying to remove the casing on my emachine in order to install an ethernet card. It has some weird screws with holes in them. Can somebody help me with this problem?

Are you talking about the rivets on the case? Im not familiar with e-machines cases, but usually the panel that comes off is the one on the left with the front of the computer facing you. Sometimes there will be a clip thing that you have to push down and then the panel slides off.

What is the model of the computer?

-Nick