laptop,ibm think pad?

I can't get the laptop, to work with internet . The only time it worked, when I first got it ( I got it for MOTHER'S DAY), I could play games on it. Then it got to where it would not stay on. When I turn it on the screen says F1 for setup or F12 for boot up. If I go to one of them, I can't remember, It asked for a password & It gets real hot. I even bought a cordless router & It still didn't work. So what to do? I still have a home computer hook-up.