[mothered]

Okay, thanks for your help sir, I'll go to sleep and I'll contact them and say that

You're welcome.

Do note, that you have every right to ask for a copy of anything you've signed for.

So I talked to them, but they told me that there was my real signature on the package, but that's impossible, and they want the police report anyway so I don't know what to do now...

Did you request a copy of your signature?