I am a master's student and want to publish an paper in a specific subfield in mathematics. I have written the paper all by myself.

The problem is my advisor is not checking my draft. He says he is busy and so he could not find time.

My question is:

 - When papers are submitted do the reviewers and editors see what are the names of the authors in the paper submitted?

 - If my professors co-authors a paper will it be more easy to get it published?

 - Should I include my professors name in my name to get it published easily?

I really want to publish it in my name only. But I really dont know how this publication process works.