No. These things fall under copyright © and trademarking. My job is to write copy, which makes me a copywriter. (Don’t worry, it’s easy to confuse the two … and most people do!)
Copyright is the protection of intellectual property and is automatically attributed to anything you create. Should you have a copyright dispute, you would need to seek out a lawyer specialising in copyright law, but you don’t need to do anything to register copyright.
For trademark issues, you should seek out a trademark specialist. I can recommend Jacqui Pryor of Mark My Words for any trademark concerns or questions you may have.