PHP: Simple Email Form

Hi, I have been trying to make a more difficult email that I still cannot get to work correctly I am now trying to make a more simple form but I still am not doing something right. Will someone please point out to me what I am doing wrong? or what needs to be chanegd?? Below is my html and php. PROBLEM: when you hit submit nothing happens it just clears my form completetly and does not email anything.

Thank you!!!
rubberduckie

<form method="POST" action="mailer.php"> 
          <label>First Name:
          <input type="text" name="first" id="first" />
          </label>
          <p><label>Last Name: 
            <input type="text" name="last" id="last" />
            </label>
          </p>
          <p>Class: 
            <label>
            <input type="radio" name="radio" id="2007" value="2007" />
            2007</label>
                 <label>
            <input type="radio" name="radio" id="2008" value="2008" />
            2008</label>
                 <label>
            <input type="radio" name="radio" id="2009" value="2009" />
            2009</label>
          </p>
<p>
                  <label>Preferred E-mail: 
                  <input type="text" name="email" id="email" />
                  </label>
                </p>
                <p>Mailing
                  <label>Address: 
                  <input type="text" name="address" id="address" />
                  </label>
                  <label><br />
                  <br />
                  City:
                  <input type="text" name="city" id="city" />
                  </label>
                  <label>                  State:
                  <input type="text" name="state" id="state" />
                  </label>
 
                  <label>Zip:
                  <input type="text" name="zip" id="zip" />
                  </label>
                </p>
                <p>
                  <label>Current Residency or Internship Program & Speciality:
                  <input type="text" name="residency" id="residency" />
                  </label>
                </p>
                <p>
                  <label>Comments:
                  <input name="comments" type="text" id="comments" value="" size="45" />
                  </label>
                </p>
                <p>
                  <label>Any News; new residency, publications, awards, honors, weddings, engagements, births
                  <textarea name="news" id="news" cols="45" rows="5"></textarea>
                  </label>
                  <label></label>
                </p>
          <p>
            <label>
            <input type="submit" name="submit" id="submit" value="Submit" />
            </label>
            <label>
            <input type="reset" name="reset" id="reset" value="Reset" />
            </label>
          </p>
        </form>
<?php 
if(isset($_POST['submit'])) { 
$to = "XXXX@myemail.com"; 
$subject = "Alumni Update"; 
$firstname_field = $_POST['first']; 
$lastname_field = $_POST['last'];
$option = $_POST['radio'];
$email_field = $_POST['email']; 
$address_field = $_POST['address']; 
$city_field = $_POST['city']; 
$state_field = $_POST['state']; 
$zip_field = $_POST['zip']; 
$residency_field = $_POST['residency'];
$comments = $_POST['comments'];
$news = $_POST['news'] 
 
$body = "From: $firstname_field
 $lastname_field
 Option: $option
 E-Mail: $email_field
 $check_msg  Address: $address_field
 City: $city_field
 state: $state_field
 Zip: $zip_field
 Residency:
 $residency_field
 Comments:
 $comments
 News:
 $news
" ; 
 
echo "Thank you! Your information has been submitted to $to!"; 
mail($to, $subject, $body); 
} else { 
echo "blarg!"; 
} 
?>