Problems with posting data to MySQL db

Problems with posting data to MySQL db

Hello. My name is Andreas otherwise online I'm Didair. But that nickname was already taken.

So my problem is that when i press my submit button the site just refreshes. Here is my Jquery code:
  1.     <script type='text/javascript' >
                $(document).ready(function(){
                $("form#submit").submit(function() {
                var user = ($_GET["with"]);
                var textarea = $('#textarea').attr('value');
                $.ajax({
                type: "POST",
                url: "js/message.php?to="+ user,
                data: "textarea="+ textarea,
                success: function(){
                $('form#submit').(function(){$('div.success').fadeIn();});
                alert(1);
                }
                });
                return false;
                });
                });
        </script> 

















I have checked my message.php file in the dir "js" but it works perfect.
I'm not used to be on forums so if it is anything i have forgotten to explain just ask. Also i would like to say that I'm not good with Javascript / Jquery at all. I'm just using it to refresh a div and post data.

      Thx / Andreas.
P.S Sorry for my English, I'm from Sweden and I'm trying to do my best.