It is NOT the power/sleep button on my phone. I've checked all of the buttons, and it is not any of them. I'm having the proximity sensor problem that others are having, and I'm wondering if it may be due to the proximity sensor being loose. As I mentioned, when I spoke to AppleCare the rep had no idea what the rattle could be, although the genius I spoke with at the Apple Store said that it sounded like it could be the gyroscope, which is located within the top left corner of the phone.
I'm wondering if I should take the phone back and either wait a few months for Apple to make changes to the manufacturing process or a bit longer until Verizon gets the iPhone- Which would fix not just the hardware problem, but also the problem with poor network coverage.