Hi @kathrinlinda1 and welcome to the forums.
Your questions are really too broad and too wide-ranging to be answered in a forum thread. You’re really asking for us to teach you everything about promoting the site, which is outwith the scope of a single discussion.
I suggest you start by reading Google’s “Search Engine Optimization Starter Guide”, which will give you a good grounding in the correct methods to use. We also have a comprehensive thread here: All You Need To Know About SEO
If you take a look around the Marketing category, you’ll find many threads on all these issues, including current discussions on building backlinks:
What is your example of "Link Earning" - #5 by ecreations
http://www.sitepoint.com/community/t/what-is-backlinks-and-how-to-get-it-quality/194494
I suggest you read these and any other threads which interest you. After that, if you have more specific questions which remain unanswered, then please feel free to post again, but please keep the question clear and specific, with just one issue per thread.
Meanwhile, I’m going to close this one, as it is too general to attract meaningful replies.