Someone Has Been Sending Anonymous Accusations To Employers

Hey there throw away account for privacy reasons. Over the past 3 years someone has been sending me hateful mostly homophobic messages from anonymous accounts. Usually this sucks but whatever hate is hate. Over the past few months this has escalated to be sent accusations of criminal behavior to my employers and people I work with. Luckily if you have known me for 10 minutes it is evident they are false, but leads to many awkward and tense conversations where I have to explain the whole thing. The messages are anonymous, but I do know exactly who it is although I do know at this point from context clues. Is there any legal action I can take? Would it be worth it? What steps can I take if any to insure this doesn’t happen. I’m starting to fear I will lose opportunity’s over this, or worse. This person has clear mental issues and seems to be very unstable claiming at one point that I was traveling states away to place dead animal bones on their property in some sort of magic ritual.