At no place in my comment did I get snippy with you. Interesting enough, you reacted to some pretty standard advice with an attitude. I can only imagine how you reacted to your DON.
I never once suggested that you falsify documents. However, by your tone I can imagine that you went overboard.
"I fill out another incident report, this is much more serious, as it is patient-to-patient. Luckily, she did not hit him hard enough to arouse him, but this behavior cannot be ignored. My DON again tells the supervisor NOT to call the police. Really???"
This patient swiped another patient so lightly that she didn't arouse him. You don't know why she did so. But, you do know that he was asleep and she wasn't trying to hurt him or get aggressive with him. According to you, when she punched you, it was with force, comparable to a professional boxer. I don't know what you wrote but it's not as deep as you believe it is. I think it's possible that your DON is just trying to convey this to you and he's finding it frustrating. It's an incident but it doesn't require the services of the emergency room because it's not an emergency.
If I were your DON I'd wonder if this naivete spilled over into how you interacted with the families of the patients. It's not an insult. I've been that new nurse before. You should never falsify documents and no nurse worth her/his license would encourage that. However you should also realize that writing from a position based on an overreaction is no less of a falsification. I don't know what exactly you said that caught his attention, but if you were adamant about her needing hospitalization I can see that it would have annoyed him and cause him to try to pressure you to leave.
He had to call the police based on your report of violence. She basically made light contact with a sleeping person. Not enough to injure, hurt, or even rouse him. There are several ways to report this contact and I feel like you had an axe to grind.
Your DON is no saint, however I don't believe he asked you to falsify the document based on what you said. You accused him of doing so just like you accused me and you actually have my words right in front of you.