pedrofidalgo on "Contact form not working - AJAX"

So i have a contact form on wordpress using ajax, but it dont work.

Here is the contact form:

<form action="http://www.ruiavelino.pt/wp-admin/admin-ajax.php" id="appoint-form" method="post">
                            <p>
                                <label class="display-ie8" for="apo_name">Full Name</label>
                                <input type="text" name="apo_name" class="required" id="apo_name" placeholder="Full Name" title="* Please enter your Full Name" />
                            </p>
                            <p>
                                <label class="display-ie8" for="apo_phone">Phone Number</label>
                                <input type="text" name="apo_phone" class="required" id="apo_phone" placeholder="Phone Number" title="* Please enter your Phone Number" />
							</p>
                            <p>
                                <label class="display-ie8" for="apo_email">Email Address</label>
                                <input  type="text" name="apo_email"  class="email required" id="apo_email" placeholder="Email Address" title="* Please enter valide Email Address" />
                            </p>
                            <p>
                                <label class="display-ie8" for="apo_date">Appointment Date</label>
                                <input type="text" name="apo_date" class="required" id="apo_date" placeholder="Appointment Date" title="* Please select desired appointment date" />
                            </p>
                            <p>
                                <label class="display-ie8" for="apo_date">Message</label>
                                <textarea name="message" class="message required" cols="30" rows="5" placeholder="Message" title="* Please enter your message"></textarea>
							</p>

							<div class="captcha-container">
								<img src="http://www.ruiavelino.pt/wp-content/themes/healthpress-theme/captcha/appointment_captcha.php" alt=""/>
								<input type="text" class="captcha required" name="captcha" maxlength="5" title="* Por favor insira os caracteres presentes na imagem!"/>
							</div>

							<p>
                                <input type="submit" value="Pedir Consulta" class="readmore">
                                <input type="hidden" name="action" value="request_appointment" />
                                <input type="hidden" name="target" value="geral@clinica.ruiavelino.pt" />
                                <img src="http://www.ruiavelino.pt/wp-content/themes/healthpress-theme/images/loading.gif" id="apo-loader" alt="Loader" />
                            </p>
                            <p id="apo-message-sent"></p>
                            <div class="error-container"></div>

                    </form>

And the functions in functions.php:

add_action( 'wp_ajax_nopriv_send_message', 'send_message' );
	add_action( 'wp_ajax_send_message', 'send_message' );	

	function send_message()
	{
			if(isset($_POST['email'])):	

					if($_POST['captcha'] != $_SESSION['rand_code'])
					{
						echo "Wrong Code!";
						die;
					}

					$name = $_POST['author'];
		            $email = $_POST['email'];
					$phone = $_POST['phone'];
					$subject = $_POST['subject'];
		            $message = $_POST['message'];
					$address = $_POST['target'];

		            if(get_magic_quotes_gpc()) {
		                    $message = stripslashes($message);
		            }										

					$e_subject = __('You Have Received a Message From ','framework') . $name . '.';

					if(!empty($subject))
					{
						$e_subject = $subject . ':' . $name . '.';
					}

					$e_body = 	__("You have Received a message from: ", 'framework')
								.$name
								. "\n"
								."Phone: " . $phone
								. "\n"
								.__("Their additional message is as follows.", 'framework')
								."\r\n\n";

					$e_content = "\" $message \"\r\n\n";

					$e_reply = 	__("You can contact ", 'framework')
								.$name
								. __(" via email, ", 'framework')
								.$email;

					$msg = $e_body . $e_content . $e_reply;
					if(wp_mail($address, $e_subject, $msg, "From: $email\r\nReply-To: $email\r\nReturn-Path: $email\r\n","-f $address"))
					{
						_e("Message Sent Successfully!", 'framework');
					}
					else
					{
						_e("Server Error: WordPress mail method failed!", 'framework');
					}
			else:
					_e("Invalid Request !", 'framework');
			endif;

			die;

	}