Can I stay safe on Facebook?

I’ve gone against friends’ advice and decided to try Facebook once more. The guy who chased/stalked me for ten months, on Facebook and in person has just discovered my new alias, just as everyone warned me he would. I know, because he keeps appearing at the top of the people I might know list. Should I ignore him and continue using Facebook publicly, as I want to add and be added by people and I doubt he’s a threat anymore, or should I close Facebook?

Can I stay safe on Facebook?
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