Hi, thank you for contacting JustAnswer.com. My name is Russell. I will do my best to provide the right answer to your question.
I'm sorry to hear about your problem. But to some extent, I would not worry too much about HP. They are a company of excellent reputation and considerable standing in the field.
The identity of the nearest HP Authorized Service Center varies, according to where you are located. If they have not told you its address, then presumably that service center will contact you, or send you email. Or they will send you another email shortly, with all the details. They may be double-checking to make sure of those details, before sending you that information.