Facebook LIKE to download script (and check if already liked)

I need a script that would work like this: I want to display DIV with an image inside of it. The image would say "press the like button below to get access to downloads". And there's a like button right below. Once user presses the like button, the above div is hidden and new one would appear - a new image. You can click that image and your will be taken to download page. Now the trick here - I want to use this trick on multiple pages on my website, so basically if they have liked my page they can access downloads on all pages. If they didn't like the page - downloads are hidden until liked.