Hey Nano ... from the top. Dont play any of those silly games that they have on there. That is where compromising your account has been the most trouble. BC so many people play them Hackers have been in them to get to your account.
2nd goto settings>privacy settings>search and make sure the the allow box is UNTICKED. Now read the little bit to the right of the box. Nice of FB to tell everyone you are searchable on there.
Then go through your settings like a fine tooth comb and make sure its all ok.
There was a article not to long ago (2weeks) i think, that creator of FB had private photos posted to the world, BC he didnt fully understand his new features he put in.
Only allow people you know to be friends, and what i have done is put my PLACE as somewhere completely different so if someone is looking for you and they search by location, you wont be found.
Just a few i know of mate... Hate the place at best of times lol
Good luck and hope it helps
Cheers