If your laptop turns on and there is no output on your display, you may have a display problem. I used to have an Acer 5000 series after about 1 year the display stopped working. Lucky for me it was on waranty and I got it fixed for free.
As far as I have heard display and keyboard problems are typical on Acers.
The Acer 5xxx series has history of display problems, look around the web you will see. If it's within a year of purchase you have a warrenty, send it to Acer.