Let me summarize the steps to get backlinks as follows:
1. write good content so that people would refer to it in their own blogs or in their emails to friends, maybe even in Facebook
2. leave comments in related blogs -- make sure you indicate your website address in the indicated field
3. embed Facebook "Like" buttons on your posts so that everytime someone clicks "Like" you immediately get a backlink that appears in the person's Facebook News Feed
4. advertise in classified ads, participate in forums, etc.
5. last resort --- buy backlinks (not recommended, but proceed at your option)