Wordpress > Custom wp-archives list by year and category with post count in sidebar

Question

So I have been trying to add a custom sidebar archives section to this Wordpress Theme. I am trying to get two separate yearly archive sections, one for category A and one for category B. I need to get a post count and display it as well, to the left of "articles".

This is the format I have been trying to get in the sidebar:

Category 1

2010 - 5 articles
2009 - 4 articles
2008 - 6 articles
2007 - 5 articles

Category 2

2010 - 8 articles
2009 - 3 articles
2008 - 7 articles
2007 - 5 articles

This code is pulling the yearly archive, but the links to the yearly archives do not filter by category. However, if Category 1 does not have posts in 2008, 2008 would not show. So I feel like I am really close, but there is something wrong here in the code. I have also been unsuccessful in pulling the post count for the year/category either. Here is what I get:

Category 1

2010 - articles (these links all take you to the general yearly archive page, not category specific)
2009 - articles
2007 - articles

Category 2

2010 - articles
2009 - articles
2008 - articles
2007 - articles

Here is are the functions I am using in my functions.php file, any idea what I am doing wrong?

<?php
function company_below_sidebar() {

global $cat;
 ?>
         <div id="press">
           <h2>Press</h2>

            <ul><?php $cat = '1'; wp_get_archives('type=yearly') ?></ul>
        </div>
 <div id="news">
           <h2>News</h2>

            <ul><?php $cat = '4'; wp_get_archives('type=yearly') ?></ul>
        </div>

<?php

}

add_action('thematic_betweenmainasides', 'company_below_sidebar');


function customarchives_join( $x ) {

global $wpdb;

return $x . " INNER JOIN $wpdb->term_relationships ON ($wpdb->posts.ID = $wpdb-    >term_relationships.object_id) INNER JOIN $wpdb->term_taxonomy ON ($wpdb->term_relationships.term_taxonomy_id = $wpdb->term_taxonomy.term_taxonomy_id)";

}
function customarchives_where( $x ) {

global $wpdb;
global $cat;

return $x . " AND $wpdb->term_taxonomy.taxonomy = 'category' AND $wpdb->term_taxonomy.term_id IN ($cat)";
}
add_filter( 'getarchives_where', 'customarchives_where' );
add_filter( 'getarchives_join', 'customarchives_join' );

function company_monthly_archive_flexible($input) {

// Get URL from $input
preg_match('(((f|ht){1}tp://)[-a-zA-Z0-9@:%_\+.~#?&;//=]+)', $input, $matches);
$url = $matches[0];

// Get content from $input (without the tags)
$content = trim(strip_tags($input));

// Seperate each date element and put it in an array
$dates = explode(" ", $content);

// Get year
$year = $dates[0];

// Customize output format
$format = "<li><a href='$url'><b>$year -</b> articles</a></li>\n";

echo $format;
}
add_filter('get_archives_link','company_monthly_archive_flexible');  ?>