I would strongly avoid using the same name as another business anywhere, but especially in your state. First, the state will likely reject your...

I am not aware of any laws making it illegal to film a dog you walk. Animals have no rights, and there is no privacy for images taken in a public...

You will likely be able to go after the owners personally for breach of contract but there is no guarantee, as LLCs are built to protect their...

No. You will need to get permission from Nike, or you will risk an infringement lawsuit.