Last year I got a new computer when my old one was infected with an AIM virus. The computer I have now is okay, but I would like to add some more RAM to it. Would it be okay to take the RAM from my old computer and put it in my new one? Is it possible that the RAM has the virus and could infect my computer?

I wouldn't chance it, any type of memory can hold a virus and that is including RAM. Don't chance it, it would be best to get a new stick.