You have return false; as the first statement in your click event callback function. This means that you are not doing anything.
Put it on the very last line of your logic or better change it to e.preventDefault(); using
$("#removeItem").click(function(e) {...}
As a side note, $("#removeItem").click(function(checkID) {} checkID will be a reference to the triggered event here, and not the id attribute of the element.
Again, the ID attribute MUST be unique for each element on each html page.
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