query_posts pagination and offset

I have a home page with two initial loops showing four posts (two on each column with two different categories and then the regular loop starts again. The code has been inserted on a custom page template.

So far everything seems to be working fine, but when I try to get the third loop (the regular one) to start on the third post (offset of two posts) my pagination gets corrupted and page 2 and further only show page one. This code seems to be working:

$posts = query_posts(array( 'cat' => -30, 'paged' => get_query_var('page')));

But when I change it to this:

$posts = query_posts(array( 'cat' => -30, 'paged' => get_query_var('page'), 'offset' => 2));

My pagination stops working.

Anybody knows what I’m doing wrong?

I will copy the entire code here (line 137 is not being used now, and line 138 is where the problem seems to be):

<?php
  /*
  Template Name: Alternate Multi Column Home
  */
?>
<?php get_header(); ?>
<div class="multicolumna">
<div class="art-content-layout">
    <div class="art-content-layout-row">
        <div class="art-layout-cell art-content">
			<?php
			  get_sidebar('top'); 

			  global $post;
			  if (have_posts()){

				?>
				<div class = "todo">
				<div class = "columna1">
				<span class="cabeceracolumna">Noticias de Las Rozas:</span>
				<div class="cleared"></div>
				<?php
				$i = 0;
				$args = 'cat=' . '3' . '&orderby=date&order=ASC'.'&offset=' . $offs;
				$posts = query_posts( $args );
				while (have_posts()& $i <2)
				{
				?>
				<div class = "entrada">
				<?php
					the_post();
					?>

					<?php
					art_post_wrapper(
						array(
								'id' => art_get_post_id(),
								'class' => art_get_post_class(),
								'thumbnail' => art_get_post_thumbnail(),
								'title' => '<a href="'.get_permalink($post->ID).'" rel="bookmark" title="'.get_the_title().'">'.get_the_title().'</a>',
								'content' => art_get_excerpt(), // 'content' => 'My post content',

						)
					);
					$i++;
				?>
					<!--
					<span class="post-date">
						<span class="month">
						<?php the_time(__('M','arclite')); ?>
						</span>
						<span class="day">
						<?php the_time(__('j','arclite')); ?>
						</span>
					</span>
					<div class="post-author">
						<span class="info">
						<?php printf(__('Autor: %s','arclite'),'<a href="'. get_author_posts_url(get_the_author_ID()) .'" title="'. sprintf(__("Mensajes por %s","arclite"), attribute_escape(get_the_author())).' ">'. get_the_author() .'</a>');
						?>
						</span>
					</div>
					-->
				</div>
				<?php
				}
				wp_reset_postdata();
				wp_reset_query();
				?>
				</div>
				<div class = "columna2">
				<span class="cabeceracolumna">Colaboraciones y Blog:</span>
				<div class="cleared"></div>
				<?php
				$i = 0;
				$args = 'cat=' . '30' . '&orderby=date&order=ASC'.'&offset=' . $offs;
				$posts = query_posts( $args );
				while (have_posts()& $i <2)
				{
				?>
				<div class = "entrada">
				<?php
					the_post();
					?>

					<?php
					art_post_wrapper(
						array(
								'id' => art_get_post_id(),
								'class' => art_get_post_class(),
								'thumbnail' => art_get_post_thumbnail(),
								'title' => '<a href="'.get_permalink($post->ID).'" rel="bookmark" title="'.get_the_title().'">'.get_the_title().'</a>',
								'content' => art_get_excerpt(), // 'content' => 'My post content',

						)
					);
					$i++;
				?>
					<!--
					<span class="post-date">
						<span class="month">
						<?php the_time(__('M','arclite')); ?>
						</span>
						<span class="day">
						<?php the_time(__('j','arclite')); ?>
						</span>
					</span>

					<div class="post-author">
						<span class="info">
						<?php printf(__('Autor: %s','arclite'),'<a href="'. get_author_posts_url(get_the_author_ID()) .'" title="'. sprintf(__("Mensajes por %s","arclite"), attribute_escape(get_the_author())).' ">'. get_the_author() .'</a>');
						?>
						</span>
					</div>
					-->
				</div>
				<?php
				}
				wp_reset_postdata();
				wp_reset_query();
				?>
				</div>
				</div>
				<div class="cleared"></div>
				<?php
				if (art_get_option('art_' . (art_is_home() ? 'home_' : '') . 'top_posts_navigation')) {
					art_page_navigation();// previous_posts_link | next_posts_link
				}
				$args = 'cat=' . '-30' . 'orderby=date&order=ASC'.'offset=' . '2';
				$posts = query_posts(array( 'cat' => -30, 'paged' => get_query_var('page')));
				while (have_posts())
				{
					the_post();
					art_post_wrapper(
						array(
								'id' => art_get_post_id(),
								'class' => art_get_post_class(),
								'thumbnail' => art_get_post_thumbnail(),
								'title' => '<a href="'.get_permalink($post->ID).'" rel="bookmark" title="'.get_the_title().'">'.get_the_title().'</a>',
								'before' => art_get_metadata_icons('date,edit', 'header'),
								'content' => art_get_excerpt(), // 'content' => 'My post content',
								'after' => art_get_metadata_icons('category,tag,comments', 'footer')
						)
					);
				?>
				<div class="separar" align="center"><img src="wp-content/themes/Miguel_angel_ferrero/images/post_separator.jpg"/></div>
				<?php
				}
				wp_reset_postdata();
				if (art_get_option('art_bottom_posts_navigation')) {
					art_page_navigation();// previous_posts_link | next_posts_link
				}
			  } else {    

				art_404_content();

			  }
				wp_reset_postdata();
				wp_reset_query();
			get_sidebar('bottom');
			?>
          <div class="cleared"></div>
        </div>
        <div class="art-layout-cell art-sidebar1">
          <?php get_sidebar('default'); ?>
          <div class="cleared">
        </div>
    </div>
</div>
<div class="cleared">
</div>
<?php get_footer();