Can I file an FIR against a girl to safeguard my family?

After 3 years long relationship, I came to know that she lied about her job, qualifications, moreover fraudulently made ID card, certificates, degrees of IIM Bangalore and also for job. Before that also her behaviour was too dominating and very bad towards my family. And when I declined the marriage proposal, since then I am getting constant threats from her that she will attempt something(suicidal) and blame me and my family. Sometimes physical violence was included too. Last year when I was not in the country, she with her two female friends forcefully entered my house and shouted and threatened my mother and brother, that they will file police complaint against me for mental torture, etc. It was a mental trauma for both of them. My mother who was already a heart patient, suffered another heart attack after that, by god's grace it was mild one. All these threats even continues today, and she barge into the house anytime, and to avoid any public drama and any legal action. I now live alone to prevent any more such thing to happen to my family. I just want to make sure that my family is safe from all this. Is there any provision to file an FIR against her?