Hi Hosalone,
Welcome to Sony Community!
If the keyboard backlight works then it's possible that there is problem with the LCD. Using a flashlight, point it to the monitor and check if you could see something on the screen. (If you can see the letters then that is a blacklight issue) Make sure there is no crack or physical damage on the unit. Try also to connect your laptop to an external monitor to isolate the issue further.
We kindly recommend visiting our Sony Global Web site for information on contacting the Sony Support Center in your region at http://www.sony.net/SonyInfo/Support/.
Regards,
Jen
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