N5010 - 8 beeps. Screen won't turn on

Hello.

I've had my N5010 for almost 3 years now, and lately I've come across some problems, which peaked with the last one - dead monitor apparntly.
It started with overheating problems sometime ago, then 2-3 weeks ago whenever I turned on the laptop it wouln't boot or show anything, meaning it would turn on, the lights were on but there were no beeps of signs of boot or any display (well, screen backlight was actually going on but it was still dark), What I did whenever that happend was letting the battery dry out and then would plug it to the power supply and turn it on, usually worked.

Then, about a week ago, it stopped working all together - whenever I turn it on, the screen stays black and after a few seconds the laptop starts to beep 8 times over and over again until I shut it down. I've read online that 8 beeps means there's a problem with my screen or something like that.

I've tried connecting it to an external monitor yesterday and it does work.

What are my options? My warranty runs out in about 2-3 weeks - thing is, my keyboard broke couple of months ago and I replaced it at my own expanse in a private shop - does it void the warranty? and does the warranty covers this at all? I just don't want to send it all the way to the lab when there's a possibility they won't even fix it either because warranty doesn't cover it or because warranty was voided...

Thanks in advanced! :)