Having some trouble with a custom taxonomy archive template

Hello all, I’m having a little trouble with a custom taxonomy template. I inherited a site that was developed by someone else and they use “Types” plugin to add some custom taxonomies.

Goal example: to have an archive template that shows only posts with a certain taxonomy term in it at <domain>/people/harrison-ford

Problems:
1) This code is bringing in posts that do not have the taxonomy selected.

2) This is not returning the name for some reason: <?php echo $tax_term->name; ?> News</h2>

Here’s my code:

<?php
	$year = get_post_meta($post->ID, 'year', true);
	$post_type = 'post';
	$tax = 'people';
	$tax_terms = get_terms( $tax );
	if ($tax_terms) {
		$args = array(
			'post_type' => $post_type,
			'people' => 'harrison-ford',
			"$tax" => $tax_term->slug,
			'post_status' => 'publish',
			'posts_per_page' => -1,
			'caller_get_posts'=> 1,
				'orderby' => 'date',
				'order' => DESC
		);
		$my_query = null;
		$my_query = new WP_Query($args);
		if( $my_query->have_posts() ) : ?>
			<h2 class="wwNews"><?php echo $tax_term->name; ?> News</h2>
			<?php while ( $my_query->have_posts() ) : $my_query->the_post(); ?>

<-- display stuff -->

			<?php endwhile; // end of loop ?>
		<?php endif; // if have_posts()
		wp_reset_query();

}
?>