PHP Contact Form does not work when I add $name - php

Question

Having a strange issue with my contact form. For some reason my code works fine if I do not have the $name tag in my code. It has to be something simple I am missing! Here is my code:
<?php
$error = ""; $successMessage = "";
if ($_POST) {
if (!$_POST["email"]) {
$error .= "An email address is required.<br>";
}
if (!$_POST["content"]) {
$error .= "The content field is required.<br>";
}
if (!$_POST["subject"]) {
$error .= "The subject is required.<br>";
}
if ($_POST['email'] && filter_var($_POST["email"], FILTER_VALIDATE_EMAIL) === false) {
$error .= "The email address is invalid.<br>";
}
if (!$_POST["name"]) {
$error .= "Full name is required.<br>";
}
if ($error != "") {
$error = '<div class="alert alert-danger" role="alert"><p>There were error(s) in your form:</p>' . $error . '</div>';
} else {
$name = $_POST['name'];
$emailTo = "name#example.com";
$subject = $_POST['subject'];
$content = $_POST['content'];
$headers = 'From: '.$_POST['name'].' <'.$_POST['email'].">\r\n";
if (mail($name, $emailTo, $subject, $content, $headers)) {
echo "<script>alert('Message Sent Successfully');</script>";
echo "<script>window.location = 'index.php';</script>";
} else {
$error = '<div class="alert alert-danger" role="alert"><p><strong>Your message couldn\'t be sent - please try again later</div>';
}
}
}
?>
It works fine if I just have subject, email, and content. Here is my code for that:
<?php
$error = ""; $successMessage = "";
if ($_POST) {
if (!$_POST["email"]) {
$error .= "An email address is required.<br>";
}
if (!$_POST["content"]) {
$error .= "The content field is required.<br>";
}
if (!$_POST["subject"]) {
$error .= "The subject is required.<br>";
}
if ($_POST['email'] && filter_var($_POST["email"], FILTER_VALIDATE_EMAIL) === false) {
$error .= "The email address is invalid.<br>";
}
if ($error != "") {
$error = '<div class="alert alert-danger" role="alert"><p>There were error(s) in your form:</p>' . $error . '</div>';
} else {
$emailTo = "me#mydomain.com";
$subject = $_POST['subject'];
$content = $_POST['content'];
$headers = "From: ".$_POST['email'];
if (mail($emailTo, $subject, $content, $headers)) {
echo "<script>alert('Message Sent Successfully');</script>";
echo "<script>window.location = 'index.php';</script>";
} else {
$error = '<div class="alert alert-danger" role="alert"><p><strong>Your message couldn\'t be sent - please try again later</div>';
}
}
}
?>
Hopefully someone can see where I went wrong.
Thanks!