The River on "How to fix duplicate post in many categories?"

I'm trying to make a function to get 5 post of any category to display in main page of a wordpress site. But in main page, some posts are duplicate with others. Please help me fix it. Thank all!

Here my site: womenonline.us Here my function:

function special_index_hoz($cat){
    $posts= array();

    $posts=query_posts('showposts=5&cat='.$cat);
    echo '<div id="box-top">';
    $id=$posts[0]->ID;

    $args = array(
    'post_type' => 'attachment',
    'numberposts' => null,
    'post_status' => null,
    'post_parent' => $id
    ); 

    $img_src = get_posts($args)[0]->guid;
            echo '<img src="'.$img_src.'" width="80" height="100"/>';
            echo '<h1><a href="'.get_permalink($id).'">'.wp_trim_words($posts[0]->post_title,10).'</a></h1>';
            echo '<p>'.wp_trim_words($posts[0]->post_content,25).'<p>';
            echo '</div>';
            echo '<div id="box-bottom">
<ul>';
            for ($i=1;$i<5;$i++)
            {
            $id=$posts[$i]->ID;
            $args['post_parent']=$id;
            $img_src = get_posts($args)[0]->guid;
            echo '<a href="'.get_permalink($id).'">
<li><img src="'.$img_src.'" width="80" height="100" />';
            echo '<p>'.wp_trim_words($posts[$i]->post_content,6).'</p></li>
</a>';
            //echo '<div id="line-bottom"></div>';
    }
    echo '</ul>
</div>';
}

[Moderator Note: Please post code & markup between backticks or use the code button. Your posted code has now been permanently damaged by the forum's parser.]