Both, public pages and private profiles, have been hacked by some mean trolls several times yet, some creators of pet pages had to fight to get their pages back, like Sylvester The Tuxedo Cat, but from private accounts (like from mine and from those of some other animal rights activists) either spam PMs or those that install a trojan or virus automatically if the contacted friends click on the link , too, so I ask Facebook to make our pages/profiles safe from being hacked, even changing the password didn´t help in my case and in the one of a very dear friend!!!
Contact: https://www.facebook.com/help/contact/268228883256323