Building a simple Facebook application

We need someone to create a simple Facebook application. The application should make possible for users to choose a certain friend or friends from his friends list by checking a small box next to their friends profile picture and name, and to send them invitations. However, their friends (those to whom the invitations were sent) wouldn't be able to see any notification or invitation (no action whatsoever) unless they are also using this application, and they have also sent the same invitation to the user. So, a user sends notifications to chosen friends, no one sees anything unless those who have received invitations have also sent invitations to the user. When both persons send an invitation, they receive a notification from the app, and they are notified that the match has happened. The application needs to be highly customisable, so we can edit any content that the users will see. Please contact us for any details or explanations.