Query the Loop without breaking it

That’s a really inefficient way to do it.

Just use the $count variable you declared at the top, without any query_posts():

$count = 0;
while ( have_posts() ) : the_post();

if ( $count < 1 ) {
  // first post
} elseif ( $count <= 4 ) {
  // next 4 posts
} else {
  // rest of the posts
}

$count++;
endwhile;

Also, it’s ‘showposts’ not ‘showpost’. Or use the newer ‘posts_per_page’.