Unfortunately the javascript API you're trying to use on your external Wordpress site won't work with shopping cart data -- the Cart information can only be displayed directly in a Big Cartel store. More information on that is here: http://help.bigcartel.com/customer/portal/articles/772751-javascript-ajax
You can use our API to display other store and product information on your website though, more details and a brief tutorial are here: http://help.bigcartel.com/customer/portal/articles/772771-api