WordPress can’t get jquery/unslider to work

by 

$(document).ready(function(){
   alert("test");
});

It could be that your jQuery is working in compatibility mode. Try replacing $ with jQuery:

jQuery(document).ready(function(){
   alert("test");
});

Edit: As per the author edit on the post:

jQuery(document).ready(function(){
   jQuery('.automatic-slider').unslider({
        autoplay: true
    });
});