Facebook obviously mines content on posted on Facebook for information. Does it also mine information that resides on your computer and not posted on fb?
I don’t think Facebook has any mechanism to do this without installing Spyware, which I’m fairly sure Facebook doesn’t do directly (but their ad providers or some third party apps might).
No.
Keep in mind that with cookies FB can find out about other websites you visit while browsing when not actually logged into FB. It does this with cookies that are stored on your computer, but I don’t think that’s what you are talking about.