It seems like the “Allow Comments” option on the “Add new page” screen does not work in wordpress.  Specifically, it does not work for the default theme Kubrick.

Allow comments option

Seeing this option, it’s easy to assume this enables comments on your wordpress Pages, especially for the default theme. But unfortunately, this particular option in the admin page has no affect on the default Kubrick theme. To enable comments on your Page(s), you have to select a theme which includes them or modify your default Kubrick theme.

Default theme with page comments

To change your default theme, add the following line to /wp-content/themes/default/page.php

<?php
/**
 * @package WordPress
 * @subpackage Default_Theme
 */

get_header(); ?>

    <div id="content" class="narrowcolumn">

        <?php if (have_posts()) : while (have_posts()) : the_post(); ?>
        <div class="post" id="post-<?php the_ID(); ?>">
        <h2><?php the_title(); ?></h2>
            <div class="entry">
                <?php the_content('<p class="serif">Read the rest of this page &raquo;</p>'); ?>

                <?php wp_link_pages(array('before' => '<p><strong>Pages:</strong> ', 'after' => '</p>', 'next_or_number' => 'number')); ?>

            </div>
        </div>
        <?php endwhile; endif; ?>
    <?php edit_post_link('Edit this entry.', '<p>', '</p>'); ?>

    <?php comments_template(); ?>
    </div>

<?php get_footer(); ?>

Additional References

http://wordpress.org/support/topic/246879

http://wordpress.org/support/topic/196788