Works in category but not on index

The navigation works on category section, but it doesn’t work on the homepage. It stays the same.

Here’s the code:

<h2 class="page-title"></h2>

            <?php $theme->hook('content_before'); ?>

<?php query_posts('cat=6&showposts=2&offset=1'); ?>

            <?php 

                $is_post_wrap = 0;

                    if (have_posts()) : while (have_posts()) : the_post();

                    /**

                     * The default post formatting from the post.php template file will be used.

                     * If you want to customize the post formatting for your homepage:

                     * 

                     *   - Create a new file: post-homepage.php

                     *   - Copy/Paste the content of post.php to post-homepage.php

                     *   - Edit and customize the post-homepage.php file for your needs.

                     * 

                     * Learn more about the get_template_part() function: http://codex.wordpress.org/Function_Reference/get_template_part

                     */

                    $is_post_wrap++;

                        if($is_post_wrap == '1') {

                            ?><div class="post-wrap clearfix"><?php

                        }

                        get_template_part('post', 'homepage');

                        if($is_post_wrap == '2') {

                            $is_post_wrap = 0;

                            ?></div>

<a
 href="http://selfexceed.com/category/blog/"><img
 style="border: 0px solid ; width: 327px; height: 132px;" alt="self improvement blog"
 src="http://selfexceed.com/wp-content/uploads/2012/12/Blog.png"></a><a
 href="http://selfexceed.com/category/videos/"><img
 style="border: 0px solid ; width: 327px; height: 132px;" alt="self improvement videos"
 src="http://selfexceed.com/wp-content/uploads/2012/12/Video.png"></a>

<?php

                        }

                endwhile;

                else :

                    get_template_part('post', 'noresults');

                endif; 

                    if($is_post_wrap == '1') {

                        ?></div><?php

                    } 

                get_template_part('navigation');

            ?>

            <?php $theme->hook('content_after'); ?>

        </div><!-- #content -->

        <?php get_sidebars(); ?>

        <?php $theme->hook('main_after'); ?>

    </div><!-- #main -->

I think it has to do with this code here <?php query_posts('cat=6&showposts=2&offset=1'); ?>

I implemented this code in order to exclude a category and ever since then, goign to page 2, 3, and etc all stays the same.

my website is http://selfexceed.com.

Appreciate any help that I can get!

http://wordpress.org/extend/plugins/wp-pagenavi/