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The first one is pretty creepy, but you can prevent your profile from showing up in search results and limit who can send you messages and friend requests.
You can also block others from seeing who you are friends with.
The 3rd thing is pretty much true for the entire internet, outside of the obvious like banks using your account info to buy stuff... it's generally a good idea to only have stuff in your profile that you would bring up casually to a friendly acquaintance. It's not like facebook is unique in that regard.
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