Why am I getting the error message when all of my forms are filled out?

<?php 

if ($_SERVER["REQUEST_METHOD"] == "POST") {
  $name = trim(filter_input(INPUT_POST,"name",FILTER_SANITIZE_STRING));
  $email = trim(filter_input(INPUT_POST,"email",FILTER_SANITIZE_EMAIL));
  $details = trim(filter_input(INPUT_POST,"details",FILTER_SANITIZE_SPECIAL_CHARS));


  //WHY IS ERROR MESSAGE RUNNING WHEN ALL INPUT NOT BLANK
  if ($name == "" || $email == "" || $details == "") {
    echo "Please fill in the required fields: Name, Email, and Details";
    exit;
  } if ($_POST["address"] != "") {
    echo "Bad form input"; 
  }

  echo "<pre>";
  $email_body = "";
  $email_body .= "Name: " . $name . "\n";
  $email_body .= "Email: " . $email . "\n";
  $email_body .= "Details: " . $details . "\n";
  $email_body .= "</pre>";
  echo $email_body;

  //To Do: Send Email
  header("location:suggest.php?status=thanks");
}

$pageTitle = "Suggest a Media Item";
$section = "suggest";

include("inc/header.php"); ?>

<div class="section page">
    <div class="wrapper">
      <h1>Suggest a Media Item</h1>

      <?php if (isset($_GET["status"]) && $_GET["status"] == "thanks") {
        echo "<p>Thanks for the email! I&rsquo;ll check out your suggestion shortly!</p>";
      } else { ?>

      <p>If you think there is something I&rsquo;m missing, let me know! Comp.lete the form to send an email</p>
      <form method="post" action="suggest.php">
        <table>
          <tr>
            <th><label for="name">Name</label></th>
            <td><input type="text" id="name" name="name" /></td>
          </tr>
          <tr>
            <th><label for="email">Email</label></th>
            <td><input type="text" id="email" name="email" /></td>
          </tr>
          <tr>
            <th><label for="details">Suggest Item Details</label></th>
            <td><textarea name="details" id="details"></textarea></td>
          </tr>
          <tr style="display:none">
            <th><label for="address">Address</label></th>
            <td><input type="text" id="address" name="email" /></td>
            <p>Please leave this field blank</p>
          </tr>
        </table>
        <input type="submit" value="Send" />

      </form>
      ?>
    </div>

    <?php } ?>  

</div>