This is catastrophic. You're lucky your computer even boots up at all.
Brian always says you need at least 1/3rd free space on your hard drive. For you, 85GB at least.
Ok, try the Troubleshooting section of this one. It should be roughly the same.
I need to know if you have a desktop screen in the house. Any old desktop screen will do, it doesn't have to be fancy. If you have one, it would be a good idea to plug it into the laptop and calibrate it, and see if the same problems arise.
I don't have a video about it, sorry, but you'll find some on YouTube, I imagine.
It's very simple, just circle the area (with a little bit of buffer around it) then drag the area onto another area of similar texture.
This looks like fairly standard file corruption. Just save them again from your master files, and send them to her again. I'd be surprised if it happened twice.
So if you wanted to do a black-and-white of this one, use Channel Mixer for your conversion. Add the Channel Mixer layer, check the "Monochrome" box, then enter 0%, +100%, 0%, 0% for the four sliders.