Sharepoint 2013 - New related list item, of a specific Content Type, auto linked

We have a Sharepoint 2013 site, with lists for People, and Applications.

When we click on a person record to 'view' their person details (the default People list Display Form) - we have added a list web part to show the 'related' items from the Applications list.

The Applications list has several content types representing the different types of applications - each of which has different columns that are required.

We are currently able to click a hyperlink to open a new 'item' from the Applications list and have it pass through the related_person_id.  What we are missing is how to construct the hyperlink to open a specific content type when clicked.

Here is the current script we are using to identify the person id, and then find a hyperlink, and replace it with one that appends the related_person_id field value:

<a href="javascript:NewItem2(event,&#39;http://sp01/sites/eligibility/Lists/Eligibility_Applications/NewForm.aspx;);">New App</a>
<!--    Name: DisplayRelatedPeople.js -->
   <script src="/sites/eligibility/DevDocs/jquery-1.11.1.min.js" type="text/javascript"></script>
   <script type="text/javascript">

jQuery(document).ready(function($) {

    //get the ID for the Issue from the Query String
    var issueID = getParameterByName("ID");
    //find the element with the "New Application" link.
    //note that if you have more than one list on your page, this just finds the first one
    var anchorElement = $("a:contains('New App')");
    $(anchorElement).attr("href","javascript:NewItem2(event,'http://sp01/sites/eligibility/Lists/Eligibility_Applications/NewForm.aspx?Related_Person_ID="  + issueID + "');");    
    });

// The following function should really be put into a utility library
// with all of your commonly called functions
//
// no, I didn't write this function from scratch, I found it at
// http://stackoverflow.com/questions/901115/get-query-string-values-in-javascript
function getParameterByName(name)
{
  name = name.replace(/[\[]/, "\\\[").replace(/[\]]/, "\\\]");
  var regexS = "[\\?&]" + name + "=([^&#]*)";
  var regex = new RegExp(regexS);
  var results = regex.exec(window.location.href);
  if(results == null)
    return "";
  else
    return decodeURIComponent(results[1].replace(/\+/g, " "));
}

</script>