I don't know if this is your case, you should to talk a psychotherapist and/or a psychiatrist, but some of the details of your story (like picking up on details like the pace of talking from a wireless company representative) remind me of my mother. She thought there was a worldwide conspiracy against her, with the CIA involved, and so on. One example: she was active in a Blogger community, and someone connected to her network wrote this mundane blog post about visiting the zoo with his family, written in a witty style and with pictures of animals. My mother thought this was a concealed attack to her well being. ("I am obviously the giraffe in this story", etc). There was no way to make her see how absurd that was, that was her perception of reality, and she wouldn't budge from it.
Unfortunately, even after having seen doctors and having spent time in a mental hospital, she continues to deny that she is unwell. She is too proud and too stubborn to be open to the idea that her perception is mistaken, or that she has an illness, or that she is not at the center of the world. Her illness along with her pride and stubbornness has caused our family a lot of pain. Imagine your mother or your sister or your wife, not just becoming mentally unwell (that is tough but fixable), but denying at all costs that she is unwell, and so letting that illness define her character going forward.
So for me, whether or not you have a health issue, you taking into consideration what your family is worried about, is commendable. Please stay open to what the people who are close to you and who care about you have to say.
I wish you the best of luck friend.