Map and website for Facebook users

I have a facebook group, I would like to create a small mobile website where the user can login directly from Facebook into the website and his account is created automatically. Then he can enter some basic profile information (age, sex, location) and his location will be saved on google maps. Google maps need to be integrated into the mobile website. He can search for other users from the FB group on the map. By clicking on another user, the other users profile page on the mobile website will be shown. From there should lead a link back to the profile page on Facebook from this another user.

More details:

Is this project for business or personal use? Personal
What information should successful freelancers include in their application? Detailed project proposals
How soon do you need your project completed? Within a month