I click on the Walt Disney World icon close to the top on the left but it still keeps me on the same page, so I click on Dining finder on top right and it just tells me information about the restaurants but does not allow me to book.
It sounds like you're on the UK site. Where you are seeing the Dining Finder, move your curser directly left and you should see the words Visit U.S. Site, click on this and it should take you to the US page.
If you can't see the words Visit U.S. Site, try changing the country at the bottom left of the page to US (English) in case that will bring them up.
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