I want to know if i call a page on my site in an iframe on FB .... and I get users to comment (i will have the FB comment activated).... interested and shareing my content

1) Will the SEO benefit accrue to this page on my site even though very little interaction will actually happen on the site....most would take place on FB ?

2) Will my google analytics capture the usual details of the activity that takes place of FB ?

Any help is welcome