How do I format a REST DateTime Object to the URI?

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This is my first time down the API REST road. This is a function in my desktop client application. It appears that the format of the dates is the cause of the errors. Could anyone please see if there is a malformality in the string. Part A is the first attempt at it, part B is where I am at now.
Thanks.

Public Shared Function SearchCurrentIncidents(ByVal incidentTypeID As Int32, ByVal beginDate As DateTime, ByVal endDate As DateTime) As List(Of IncidentNotificationData)
 
Try

'A) Response is a 404 Not Found - I suspect too many '/' in the date arguments

Dim uri As String = String.Format(My.MySettings.Default.Local &
 "/IncidentNotificationRESTService.svc/SearchCurrentIncidents/{0}/{1}/{2}",       incidentTypeID, beginDate, endDate)

uri is:
http://localhost:60420/IncidentNotificationRESTService.svc
/SearchCurrentIncidents/1/1/14/2013 11:11:55 AM/1/14/2016 11:11:55 AM

'B) Response is a 400 Bad Request 

Dim uri As String = String.Format(My.MySettings.Default.Local &
 "/IncidentNotificationRESTService.svc/SearchCurrentIncidents/{0}/{1}/{2}",    	 
  incidentTypeID,
  HttpUtility.UrlEncode(beginDate.ToString("yyyy-MM-ddTHH:mm:ssZ")),
  HttpUtility.UrlEncode(endDate.ToString("yyyy-MM-ddTHH:mm:ssZ")))

uri is:
http://localhost:60420/IncidentNotificationRESTService.svc/SearchCurrentIncidents/1/2014-0114T13%3a53%3a44Z/2016-01-14T13%3a53%3a44Z

Dim request As WebRequest = WebRequest.Create(uri)
throws exception on this call:
   response = request.GetResponse()...