You have 2 versions of jQuery loaded on that page. The jCarouselLite plugin is attached to the first instance of jQuery that loaded. Currently, you are getting a reference to the second jQuery that was loaded via the .noConflict()
call...
var $jx = jQuery.noConflict();
$jx(function() {
$jx(".mygallery").jCarouselLite({
btnNext: ".next",
Change it to use the original jQuery object and you should be good...
var $jx = jQuery.noConflict();
$(function() {
$(".mygallery").jCarouselLite({
btnNext: ".next",