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Here you can control your personal interaction with the page by starring it or marking it as pending. You can send the page to other users, destroy it, or remove it from your inbox view. The later only removes the page from your inbox view, it does Not destroy the page
By clicking the icon (not the user or group) you can grant or remove access to a page. You can also see who has participated (read and or contributed) in the page.
This one is fairly obvious. Contributing entails adding to the page. Reading the page does not list you as a contributor.
Here you modify, remove or add tags. Tags are a way to categorize pages based on user defined categories. You will be able to browse and search for pages based on their tags.