Beware of Facebook Hacking

Do ensure that you use tight security on your Facebook page so that others can't log in and pretend to be you.  At the very least, add a mobile number so that you get a text if there is a log in from an unknown place or device.  If it was you, you get a code which comes as a text and you can enter to verify that it was actually you.

If you click on this article, you will find other useful information.
Tips to help you protect your Facebook account.