JQuery UnBind Works, Attempt to "re" bind does not

I'm working my way through a JQuery Solution and for the most part it works but I"m stumped on seemingly a small detail I know I'm overlooking. Heck, maybe my implementation/approach needs to be reconsidered.

Here's the flow of what works.

1. Click an anchor that adds to a table.

2. Add CSS Class.

3. Disable (Unbind) click on after preappend().

4. From the table of dynamically added record remove table based on ID.

5. delete class that was added in step 2.

6. Bind 'click'

However, although I can bind the click and alert on it. The expected functionality does not allow me to step through the above process again.

The code in question:

HTML SAMPLE:

link that starts the process:

<a href="#" class="view-carrier-scorecard"></a>
<a href="#" class="view-car开发者_StackOverflowrier-trend"></a>
<a href="#" class="view-carrier-insurance"></a>
<a href="#" id="17053942" class="add-carrier-company"></a>

table that holds new records after click of link

<table id="carrier-table"><tbody></tbody></table> 

JQUERY and Custom Javascript Function

   <script type="text/javascript" id="removeCarrier">
     function removeCarrierFromList(obj) {
       var i = obj.parentNode.parentNode.rowIndex;
       document.getElementById('carrier-table').deleteRow(i);
       $('a#' + obj.id).removeClass('delete-carrier-company');
       //alert(obj.id); //.hasClass('add-carrier-company').tostring() ); //

       $('a#' + obj.id).bind('click', function() {
          //alert('User clicked on ' + obj.id);
       });
     }
   </script>



 <script type="text/javascript" id="carrierListJS">
    $(function() {

      // Link
      // This adds a carrier to a list
      $('.add-carrier-company').click(
      function() {

        var target = $(this).attr("id");
        alert(target);
        $("#carrier-table").prepend("<tr id='carrierRow_" + target + "'>" +
       "<td><a href='#' id='" + target + "' class='delete' onclick='removeCarrierFromList(this)'>&nbsp;&nbsp;&nbsp;&nbsp;</a></td>" +
       "<td class='carrier-list-text'>" + target + " " + $("#name_" + target).val() + "</td>" +
      "</tr>");

        return false;
      });

      $('.add-carrier-company').click(
       function() { $(this).addClass('delete-carrier-company').unbind('click'); }
      );

    });
  </script>

There were a few issues I noticed with the code. For one thing, as @RussellUresti mentioned, you create two tags with the same ID. For another thing, if you're using ID's in a selector in jQuery, don't include the tag name, just use the id (ie. use $('#id') not $('a#id')) it will be faster (it won't break your code though).

I have created a jsfiddle to answer your question (though I rewrote most of it). :) I think it's what you're looking for.

Here's the code:
Test HTML

<a href="#" class="view-carrier-scorecard">aa</a>
<a href="#" class="view-carrier-trend">bb</a>
<a href="#" class="view-carrier-insurance">cc</a>
<a href="#" id="10002" class="add-carrier-company">10002</a>
<a href="#" id="10003" class="add-carrier-company">10003</a>

<table id="carrier-table" style="border:1px solid #000"><tbody></tbody></table> 

JavaScript

function addCarrier() {
    var target = $(this).attr("id");
    $("#carrier-table").prepend("<tr id='carrierRow_" + target + "'>" + "<td><a href='#' id='a" + target + "' class='delete'>&nbsp;&nbsp;&nbsp;&nbsp;</a></td>" + "<td class='carrier-list-text'>" + target + " " + $("#name_" + target).val() + "</td>" + "</tr>");
    $('#a' + target).click(removeCarrierFromList);
    $(this).addClass('delete-carrier-company').unbind('click');
    return false;
}

function removeCarrierFromList() {
    var $this = $(this);
    var id = $this.attr('id').replace("a","");
    $this.closest('tr').remove();
    $('#' + id).removeClass('delete-carrier-company').click(addCarrier);
}

$(function() {

    // Link
    // This adds a carrier to a list
    $('.add-carrier-company').click(addCarrier);
});