Embed plugin into Custom Page Template

I think you need something

is_page() 

to output the page content:

<?php if ( have_posts() ) : while ( have_posts() ) : the_post(); ?>
<?php the_content(); ?>
<?php endwhile; else: ?>
<p><?php _e('Sorry, no posts matched your criteria.'); ?></p>
<?php endif; ?> 

further reading about shortcodes
http://wp.smashingmagazine.com/2012/05/01/wordpress-shortcodes-complete-guide/