"Do I need one? Is my breath bad? Are you trying to tell me something subtly or not so subtly?"
Sorry... No, I don't mean anything by it. I like Altoids and almost always have a tin of them around my office. Usually, when I want one, I will offer one to whoever is with me in the office as well.
Please don't read anything more into it. When I offer, take one, don't take one, no matter to me. If you see them sitting out, you may have one, you don't even have to ask.