Meta is not saving

Tara, that does not help. I made a mistake not using the code link. here is my code: It is not a plugin.

<?php
/* Template Name: Add Artist */ 

get_header();
?> 

<div id="primary">
<div id="content" role="main"> 

<!-- New Post Form -->

<div id="postbox">

<form id="new_post" name="new_post" method="post" action="">

<label for="title">Artist/Band Name</label><br />
<input type="text" id="title" value="" tabindex="1" size="20" name="title" />

<label for="wbd_description_details_bio">Bio</label><br />
<textarea id="wbd_description_details_bio" tabindex="3" name="wbd_description_details_bio" cols="50" rows="6"></textarea>

<label for="wbd_artist_details_datestart">Year Band Formed</label> ;
<input type="text" id="wbd_artist_details_datestart" name="wbd_artist_details_datestart" value="" />

 <label for="wbd_artist_details_origin">Home Town</label>
 <input type="text" id="wbd_artist_details_origin" name="wbd_artist_details_origin" value="" />

<label for="wbd_artist_details_label">Recording Label </label>
<input type="text" id="wbd_artist_details_label" name="wbd_artist_details_label" value="" />

<label for="wbd_artist_details_links">Website</label>
<input type="text" id="wbd_artist_details_links" name="wbd_artist_details_links" value="" />

 <label for="wbd_artist_details_youtubeid">YouTube Video ID</label> '
 <input type="text" id="wbd_artist_details_youtubeid" name="wbd_artist_details_youtubeid" value="" />

<label for="wbd_artist_details_grpmembers">Band Members</label>
<textarea  id="wbd_artist_details_grpmembers" tabindex="3" name="wbd_artist_details_grpmembers" cols="25rows="6" ></textarea>

<p><label for="post_tags"></label>

<input type="hidden" value="" tabindex="5" size="16" name="post_tags" id="post_tags" /></p>

<p align="right"><input type="submit" value="Publish" tabindex="6" id="submit" name="submit" /></p>

<input type="hidden" name="page" id="page" value="< ? php echo $post->ID; ? >"/>

<input type="hidden" name="action" value="post" />

<?php wp_nonce_field( 'new-post' ); ?>

</form>

</div>

<!--// New Post Form -->

<?php

if( 'POST' == $_SERVER['REQUEST_METHOD'] && !empty( $_POST['action'] )) {
	// Do some minor form validation to make sure there is content
	if (isset ($_POST['title'])) {
		$title =  $_POST['title'];

	} else {
		echo 'Please enter a title';
	}
		$tags = $_POST['post_tags'];

	// Add the content of the form to $post as an array

	$post = array(
		'post_title'	=> $title,
		'post_content'	=> ' ',
		'post_category'	=> $_POST['cat'],  // Usable for custom taxonomies too
		'tags_input'	=> $tags,
		'post_status'	=> 'publish',			// Choose: publish, preview, future, etc.
		'post_type'	=> 'wbd_artist'  // Use a custom post type if you want to
	);
	wp_insert_post($post);  // Pass  the value of $post to WordPress the insert function
// http://codex.wordpress.org/Function_Reference/wp_insert_post
global $wpdb;

    $posted_datestart = sanitize_text_field( $_POST['wbd_artist_details_datestart'] );
  add_post_meta($post_ID, $meta, '_wbd_artist_details_datestart', $posted_datestart, true);

   $posted_origin = sanitize_text_field( $_POST['wbd_artist_details_origin'] );
  add_post_meta($post_ID, '_wbd_artist_details_origin', $posted_origin, true);

  $posted_label = sanitize_text_field( $_POST['wbd_artist_details_label'] );
  add_post_meta($post_ID, '_wbd_artist_details_label', $posted_label, true);

  $posted_grpmembers = sanitize_text_field($_POST,'wbd_artist_details_grpmembers_');
  add_post_meta($post_ID, '_wbd_artist_details_grpmembers', $posted_grpmembers, true);

  $posted_links = sanitize_text_field($_POST,'wbd_artist_details_links_');
  add_post_meta($post_ID, '_wbd_artist_details_links', $posted_links, true);

  $posted_youtubeid = sanitize_text_field( $_POST['wbd_artist_details_youtubeid'] );
  add_post_meta($post_ID, '_wbd_artist_details_youtubeid', $posted_youtubeid, true);

$posted_description = sanitize_text_field( $_POST['wbd_description_details_bio'] );
  add_post_meta($post_ID, '_wbd_description_details_bio', $posted_description, true);

} // end IF

// Do the wp_insert_post action to insert it
do_action('wp_insert_post', 'wp_insert_post');

?>
</div><!-- #content -->
</div><!-- #primary -->
<?php get_footer(); ?>

I tried the plugin route first.
They don’t make a new post and add to the meta at the same time.

It is easier to write my own form and it all works except the meta part. I am sure I am just missing a line or two that is needed.