Holy sht! This is crazy. Who wants to steal your acc so bad? Didn't you had their info? Sue them in any way to see if they back off. In what kind of delusional state are they on?
Don't click any links! Secure your accounts with safe recovery emails, and extra steps. Don't make their life easy! I'm the most paranoid person I know, this situation would literally make me not trust anyone online wth. Someone has too much free time 
Curated feed for my amusement - I try to be a beacon of positivity -