The failed to read the images is a permissions problem with the destination location. What OS, what version, how full is your drive???
FYI- I'm using windows 7, lightroom 5, sony a560 dslr, and I'm trying to load mostly RAW files and a few JPEGs
If you are importing Images straight from the Camera Card, try and copy them first on your Desktop and then import the images from your desktop to Lr.
I am using windows 7, Lightroom 5. The images I'm trying to import are mostly raw files and a couple of JPEG
so are you saying I may not have enough storage left on my computer?? Should I move all my files so an external hard drive and free up space??
You haven't told us how much free space you have on your hard drive, so without knowing that, I don't think that moving photos to an external drive will solve the problem.
THe usual cause of this error message is that you don't have the proper permissions in your operating system to the destination folder. So, go to the Lightroom Import dialog box and note the exact folder specified under the "Destination" section on the right. Then go into your operating system and change the permissions on this exact folder so that you now have WRITE permission to that folder.