I am being framed for something I didn't do and it's seriously costing me my relationship. What do I do? How can I "clear" my name?

My boyfriend is mad at me and blaming me for something I didn't do. It's bad enough he told me we were done and wanted to break up. I told him I really DID NOT do this. I begged him to believe me, but he wouldn't. I think I know what really happened.

There is someone in his family who I feel does not like me and does not like us being together. I think they did this to separate us. Why? Because they mysteriously brought the alleged issue to his attention at random.

They told him that someone had emailed and called their company (they work together) trying to get him fired and made all these INSANE, off-the-wall accusations against him. The accusations were crazy. ALL of them were FALSE. He asked who did it - if there was a name. They said no it was an anonymous call/email, but then they said the boss came out and said it was me who did it. I DID NOT! All I have is HIS contact info for work if an emergency happened and I needed to call him home. I don't have management numbers and I don't have emails for anyone.

1. How could a manager disclose that info from an alleged anonymous report? They literally told someone who it was who called/emailed anonymously? They disclosed info that the report contained? How is that ok? They can't legally disclose that, can they?

2. Why would he believe them over me? I truly did not do it. I don't have the company email information as I am not an employee and it isn't listed on the internet. I did not do that. And why would I make those crazy allegations and try to get him fired from his job?

He is SET on believing I did it. He said I could figure out a way to find the needed information. No, I can't and no, I didn't. He brought up some past stuff (where I had hid something before and we resolved it/moved on) and said I lied before; how could he believe I was telling the truth now? I told him to look at my sent email log. He said I could have deleted it. I don't delete my emails though.

How can I get this resolved?

Updates
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He completely refused to look at my emails to allow me to prove I did not send any to the company. He just said I probably did and removed the evidence. I did not. I keep my emails except spam. And if it was apparently anonymous, what proof is there that I was the one to do it? If someone called in, who knows who it was? What did they do - record the call and then play it back? Most of those phone lines aren't even recorded lines to my knowledge.
Updates
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And I'm pretty sure you have to be TOLD your phone call may be or will be monitored/recorded. I've heard that message numerous times when making certain calls. This is all so insane. He is refusing to see me or speak to me, insisting I did this.
I am being framed for something I didn't do and it's seriously costing me my relationship. What do I do? How can I "clear" my name?
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