My MacBook White Screen Goes Black

I bought the computer two years ago. It worked perfectly well until three weeks ago. First, the trackpad doesn't work properly. Fine, I use a mouse instead. But I can't stand the screen's problem. It doesn't wake up from sleeping. Fine, I don't let it sleep. However, if I shut it down, and turn it on, the screen goes black too! I keep opening and closing the screen to wake it up for at least 10 mins. That's ridiculous. What can I do? I saw someone write that the apple store will fix it for this problem even though the computer's warranty is expired. Is that true?