Yes your Facebook page will help your online presence; whether it really helps the "SEO" of your Website very much is debatable. Here are some steps that will improve your presence in search results-
Complete the Basic Information in the setting tab of your page. Within this ensure your NAP (Name Address Phone Number) is an exact match for how it appears elsewhere online. Provide your website url both in the website box and in the About section.
Number of likes and shares are generally considered to be beneficial. So continuing engagement etc is beneficial