You can enable or disable the "Like" button easily by going to "Settings" >> "Site Settings" >> "Functionality". Also you can setup voting individually for each album by going to "Tools" >> "Album Settings" >> "Functionality".
Can I see who liked what? You can view each registered visitor's likes in their details. If you do not, you can only see the count of likes.
What can I do next? You can check your comment settings.