Reply To: Remove links from title and picture on front page

To remove the link on post thumbnails rewrite the pinboard_post_thumbnail() function as follows:

function pinboard_post_thumbnail() {
	if( has_post_thumbnail() ) : ?>
		<figure class="entry-thumbnail">
			<?php the_post_thumbnail( ( pinboard_is_teaser() ? 'teaser-thumb' : 'blog-thumb' ) ); ?>
		</figure>
	<?php endif;
}

Due to the design nature of this theme moving the title above the thumbnail would break the layout, yet you can do it with Enlightenment theme, you might want to give it a try.