mobile

Hi Team

I am facing display issues in nexus 5. Display is showing pixels all over the screen and there is no image at all.
Sometimes, when i press power button multiple times, the home screen does appear but it does not work at all times (may be 1 out of 20 times or even less). So I am not able to use the phone currently and am waiting to get it resolved.
i visited some IT repair shops and the repair guys without even having a full look at my problem, they simply say that i need to get display replaced. Although a few of repair guys told me that its only some software issue. So am now confused what to do.
There is no physical damage of any sort. HOwever, a few days back before i started to face the display issue, it did fall from a chairs height as it slipped from my hand but it fell on its back and also had spigen slim armor backcover on. So i dont think that could have caused any damage. Also, before i started getting the problem, i had also upgraded to 5.1. I tried to do factory reset, wiping cache but that didnt work. Please can you help me as i need urgent help as to what the issue could be - could it be a software or some minor hardware issue. your urgent reply is highly appreciated.
Thanks.