Hi.
I think you just have to remove this code.
<?php
$cat = ($r_option['recent_posts_category'] != '_all') ? $cat = $r_option['recent_posts_category'] : $cat = '0';
$q = 'cat='.$cat.'&post_status=future,publish';
$wp_query = new WP_Query();
$wp_query->query($q);
?>
<?php if (have_posts()) : ?>
<?php while (have_posts()) : the_post(); ?>
<?php
$post_thumb = get_post_meta($wp_query->post->ID, '_post_thumb', true);
$custom_day = get_post_meta($wp_query->post->ID, 'custom_day', true);
$custom_month = get_post_meta($wp_query->post->ID, 'custom_month', true); ?>
<div class="news-entry pngfix">
<div><span class="day"><?php if ($custom_day != '') echo $custom_day; else the_time('d'); ?></span><span class="year"><?php if ($custom_month != '') echo $custom_month; else the_time('m/y'); ?></span></div>
<a href="<?php the_permalink();?>" <?php if ($post_thumb && $post_thumb != '') echo 'class="tooltip"';?> rel="<?php echo r_image_resize(200, 200, $post_thumb); ?>"><?php echo get_the_title();?></a>
</div>
<?php endwhile; ?>
<?php endif; ?>
</div>
</div>
</div>
<div id="hb-col3">