Making a contact form work

Hi all. I am just about to finish a project i have been working on, but i would like the contact form to work. It needs to send the information a user has asked me to my email address. Please help me.

<form method="post" name="caitlynf65@gmail.com" action="form-to-email.php">
    <div class="conatct-container">
    <h2>Contact Me Now!</h2>
    <input type="name"
           class="contact-input"
           placeholder="Your name">
    <input type="email"
           class="contact-input"
           placeholder="E-mail address">
    <textarea class="message"
              placeholder="Type your message here..."></textarea>
    <input type="submit"
           class="contact-submit"
           value="Submit"/>
  </div>
</form>
<?php
	if(isset($_POST['submit'])){
		$name=$_POST['name'];
		$email=$_POST['email'];
		$msg=$_POST['message'];

		$to='ca@gmail.com';
		$subject='Form Submission';
		$message="Name :".$name."\n"."\n"."Wrote the following :"."\n\n".$message;
		$headers="From: ".$email;

		if(mail($to, $subject, $message, $headers)){
			echo "<h1>Sent Successfully! Thank you"." ".$name.", I will contact you shortly!</h1>";
		}
		else{
			echo "Something went wrong!";
		}
	}
?>