Swap the jqhfu_enqueue_scripts() function out (found in jquery-html5-file-upload.php) with this new one to get https://wordpress.org/plugins/jquery-html5-file-upload/ working as of version 1.3 of that WordPress plugin.

jquery-html5-file-upload.php

function jqhfu_enqueue_scripts() {
	$stylepath=JQHFUPLUGINDIRURL.'css/';
	$scriptpath=JQHFUPLUGINDIRURL.'js/';

	wp_enqueue_style ( 'jquery-ui-style', '//ajax.googleapis.com/ajax/libs/jqueryui/1.10.1/themes/base/jquery-ui.css' );
	wp_enqueue_style ( 'jquery-image-gallery-style', '//blueimp.github.io/Gallery/css/blueimp-gallery.min.css');
	wp_enqueue_style ( 'jquery-fileupload-ui-style', $stylepath . 'jquery.fileupload-ui.css');
	wp_enqueue_script ( 'enable-html5-script', '//html5shim.googlecode.com/svn/trunk/html5.js');
	if(!wp_script_is('jquery')) {
		wp_enqueue_script ( 'jquery', '//ajax.googleapis.com/ajax/libs/jquery/1.11.0/jquery.min.js',array(),'',false);
	}
	wp_enqueue_script ( 'jquery-ui-script', '//ajax.googleapis.com/ajax/libs/jqueryui/1.10.4/jquery-ui.min.js',array('jquery'),'',true);
	wp_enqueue_script ( 'tmpl-script', '//blueimp.github.io/JavaScript-Templates/js/tmpl.min.js',array('jquery'),'',true);
	wp_enqueue_script ( 'load-image-script', '//blueimp.github.io/JavaScript-Load-Image/js/load-image.min.js',array('jquery'),'',true);
	wp_enqueue_script ( 'canvas-to-blob-script', '//blueimp.github.io/JavaScript-Canvas-to-Blob/js/canvas-to-blob.min.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-image-gallery-script', '//blueimp.github.io/jQuery-Image-Gallery/js/jquery.image-gallery.min.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-iframe-transport-script', $scriptpath . 'jquery.iframe-transport.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-fileupload-script', $scriptpath . 'jquery.fileupload.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-fileupload-fp-script', $scriptpath . 'jquery.fileupload-fp.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-fileupload-ui-script', $scriptpath . 'jquery.fileupload-ui.js',array('jquery'),'',true);
	wp_enqueue_script ( 'jquery-fileupload-jui-script', $scriptpath . 'jquery.fileupload-jui.js',array('jquery'),'',true);
	wp_enqueue_script ( 'transport-script', $scriptpath . 'cors/jquery.xdr-transport.js',array('jquery'),'',true);
}