I'm designing a web site for my company. It is a very small company right now. I created a Logo in Paint Brush, but it is pretty attractive.
What I would like to know is do I have to get the Logo registered and a copyright? Any idea how much does it cost.

Also, the company's name is pretty lengthy, if I create
an alias (an abbreviation) do I need to register that too? And how much would it cost and how do I do that.

thanks for your help