I'm gathering the cops were there to diffuse the situation that had erupted between you and your father.

No they may not have been politically correct with some statements and may have stuck their foot in their mouth once or twice.

There's probably no harm in gently letting someone know how you'd preferred to be addressed with regards to your gender identity. I think that's fine to.

In terms of them pointing out your age, well, I don't know what you did, perhaps you could elaborate on why they felt the need to tell you to act more appropriately?