The Facebook profile is likely FAKE, I saw a claim it didn’t exist until after the shooter’s name leaked.
The MySpace (now removed) and YouTube are real.
I scraped Jared Loughner's Facebook Page within a minute or two of his name hitting Twitter, and his Facebook Profile was scraped within minutes later. There was no time for anyone to create a fake page between those two times.
Another Facebook Page was later created with his name, and with Sarah Palin's pictures, but without the personal information from the previous page (which I posted). This later Facebook Page was also deleted.