You can make your Facebook account completely private by changing several of the settings. It is recommended to use facebook.com our a browser to make these changes to privacy. You'll have to make several changes to the privacy tab under settings. Make sure everything is set to only me or friends here. Next, go to timeline and tagging and limit use to friends or only me.
Next, go to public posts and change from public to friends. You also need to turn off face recognition in photos. If you want to be harder to find, change your last name to your middle name under the general setting option. Once you do all the settings changes related to privacy on Facebook, go to your profile and make sure your phone number and email are also viewable to only me.