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I have no problem informing someone that I'm armed - after I have drawn the weapon and am pointing it at him. The law allows you to draw your weapon when force (not deadly force) is justified. So, if you're in a situation that is hairy enough that you might have to shoot someone, you can draw your weapon and then order them to back off or you will shoot. But you'd better make darn sure that doing so is justified before doing it.

In the scenario you describe, it sounds like the guy was persistent, but persistence doesn't justify the use of force. If you were trying to get away from him and he kept coming at you, then you might be able to justify drawing if you honestly felt threatened.