Does Facebook have anything to do with seo?

The short answer is yes FB has implications on rankings. The big question is how you use it.

1) Improve the placement of your FB page
2) Trying to use FB to improve the placement of your website.

If your goal is #1, then there are various traditional SEO activities you can do. You then need to concern yourself with what people can do once they get there.

If you are only worried about #2, then the only thing to do is to get the FB pages ranked more highly, so that the few links to your website are worth more.

In either case you’re going to be building the prominence of the FB page, but why you are doing it is the most critical question to answer. This will determine your course of action.