Yeah, random pixels can die. It is a pain in the ass. My Mac (tho I love her) has a back light that has gone to shit, and sometimes its just useless (only 2 yrs old). Unfortunately, when a pixel goes, I don't think there is anything to do for it... but that doesn't mean any more will go out.
I saw a weird one, a desktop LCD, where about an inch wide and a quarter inch high of pixels went out, like they were crushed, and the rest of the screen looked like they had must oozed down it, like someone sprayed something at the top and it dripped down.