Do I Have To Sign This? Possibly May Get Terminated If I Don't

I'm going to try and make this as simple as possible.
A coworker at work was attempting to date an associate at work. We have a fratenization policy which we were all made aware of. Nowhere in the fratenization policy does it state that if I am aware of it, i have to report it. I knew about it, but I didn't feel like it was my business because my coworker is an adult and I felt like he could go and tell my manager himself. My coworker kept me out of the loop either way, so I didn't want to spread misinformation and look bad and get him fired either.
Another incident where a security guard that works under me quit because he wasn't getting paid enough. I spotted him out in public wearing a different uniform, which obviously leads to to me knowing about it. I did not tell my manager either because I felt like the gaurd must've already discussed this with my manager and it's just simply none of my business. He's also a grown man, that's his decision and that's not within my power to tell someone.
Skip to today, my manager sends out a form and tries to write me up for not telling him this "vital information". The form states "I hereby agree that if I am aware of something that violates policy - " etc basically stating that if I don't rat out on people or say something, I get written up and be subject to termination.
I stated my side of things. I told him straight up that I am simply here for work. I put in my time, I work my 40 hours, I put in my statistics, and that's it. Anything that does not have to do with protecting the company from losses, has nothing to do with me. My coworker having a relationship is none of my business. The gaurd quitting and working somewhere else is none of my business. So im not signing that paper.
I find this completely unfair. Now if I were to see my coworker stealing, doing time theft, doing obvious stupid things, then yea I'd tell my manager. But little shit like that is not in my category.
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