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You missed the last step - actually putting the hit counter code on the page.
Actually that is quite a common mistake.
Is there a specific place I should put it?
That is a question that really tempts fate :)
The counter goes in the "body" section, conventionally at the bottom of the page but that is entirely your design choice.
For the future... I think Statcounter is a good tool. It counts not only click but gives much more statistics.