Managed to figure it out. For some reason the function I used for saving the functions kept skipping over the checkbox group. I had to specify the checkbox group update_post_meta separately and it now works.
I see I forgot to include the actual query…but yes, I have included the paged parameter.
$paged = (get_query_var('paged')) ? get_query_var('paged') : 1;
$wpq = array ('post_type' =>'listing', 'paged' => $paged, 'order' => 'DESC', 'post_status' => 'publish', 'posts_per_page' => 10);
$search_result_query = new WP_Query($wpq);