I know a bit of JS/jQuery but not enough to know if this would cause a problem…the code below is from the dashboard APPEARANCE > MENU page. It looks like there is a reference to jQuery before the call to jQuery:
<script type="text/javascript">
addLoadEvent = function(func){if(typeof jQuery!="undefined")jQuery(document).ready(func);else if(typeof wpOnload!='function'){wpOnload=func;}else{var oldonload=wpOnload;wpOnload=function(){oldonload();func();}}};
var ajaxurl = '/wp-admin/admin-ajax.php',
pagenow = 'nav-menus',
typenow = '',
adminpage = 'nav-menus-php',
thousandsSeparator = ',',
decimalPoint = '.',
isRtl = 0;
</script>
<link rel='stylesheet' id='admin-bar-css' href='https://clevelandapplefestival.org/wp-includes/css/admin-bar.min.css?ver=3.5.1' type='text/css' media='all' />
<link rel='stylesheet' id='output-css' href='https://clevelandapplefestival.org/wp-content/plugins/addthis/css/output.css?ver=3.5.1' type='text/css' media='all' />
<link rel='stylesheet' id='overlayStyleSheet-css' href='https://clevelandapplefestival.org/wp-content/plugins/overlay//styles/overlay_admin.css?ver=3.5.1' type='text/css' media='all' />
<link rel='stylesheet' id='wp-admin-css' href='https://clevelandapplefestival.org/wp-admin/css/wp-admin.min.css?ver=3.5.1' type='text/css' media='all' />
<link rel='stylesheet' id='buttons-css' href='https://clevelandapplefestival.org/wp-includes/css/buttons.min.css?ver=3.5.1' type='text/css' media='all' />
<link rel='stylesheet' id='colors-css' href='https://clevelandapplefestival.org/wp-admin/css/colors-fresh.min.css?ver=3.5.1' type='text/css' media='all' />
<!--[if lte IE 7]>
<link rel='stylesheet' id='ie-css' href='https://clevelandapplefestival.org/wp-admin/css/ie.min.css?ver=3.5.1' type='text/css' media='all' />
<![endif]-->
<script type='text/javascript' src='https://ajax.googleapis.com/ajax/libs/jquery/1.8.3/jquery.min.js'></script>
<script type='text/javascript'>try{jQuery.noConflict();}catch(e){};</script>
<script type='text/javascript' src='https://ajax.googleapis.com/ajax/libs/jqueryui/1.9.2/jquery-ui.min.js'></script>
<script type='text/javascript'>