I have a Conflict with 4 JavaScript librarys

I have a Conflict with 4 JavaScript librarys

I have ran into trouble with my booking form, I need to include 4 librarys on my page and it doesn't like it.
 
These are the files I am including so far.
 
 
I have no problem with the 3 librarys above, the github Validation file is for my datepicker...
 
when I include the library below for my php validation on my booking form my datepicker stops working and dreamweaver greys out any script call that follows validation.js
 
<script type="text/javascript" src="contact/validation/validation.js"</script>
 
I am using  <script> $(document).ready(function()
  {
     $("#datepicker").datepicker();
  });
 </script> 



 
I am not to sure which style of the  noConflict()       I should  use, And were to place it on my page
 
<script type="text/javascript">
$.noConflict();
// Code that uses other library's $ can follow here.
</script>
Any help PLS
Thanks andy