PSP 3000: Damaged screen or connectors?

Hi, I have a PSP 3000 with a broken screen, it only works on little portion on the top, the rest of the screen are lines and dots which continue to appear while my PSP is turned on. I bought two others screen but they seems to be completely broken: they only shows lines amd dots which, again, they continue to appear while my PSP is turned on.

I was wondering if the screens are just broken or there is some problem with my connectors, and how do I tell if they’re broken or the screens arrived faulty (which I saw that it happens to everybody).