I don't know anything about australia, but I'm familiar with US copyright and trademark law, having just made a study of it for a service company I consult for. According to the US Copyright Office, you are simply wrong. The p stands for phonorecord, though it covers other forms of "works that result from the fixation of a series of musical, spoken, or other sounds".
Publishing is entirely different issue, and is covered in detail on the governments website as well.
http://www.copyright.gov/circs/circ1.html