Displaying Subcategories and Siblings of Custom Post Types and Custom Taxonomies

So, thanks to this post I have achieved what I need with taxonomy categories and their siblings on the taxonomy-{yourtaxonomy}.php page.

I am using this code in a sidebar, and call this sidebar on the custom taxonomy page. I am calling it on a single too (single-yourtaxonomy.php). I am trying to get the same results as on the taxonomy page but haven’t quite got that yet. I will also be calling it on the archive page (archive-yourtaxonomy.php)! Maybe someone can give me some hints??

<?php
  $term = get_term_by( 'slug', get_query_var( 'term' ), get_query_var( 'taxonomy' ) ); // get current term
  $parent = get_term($term->parent, get_query_var('taxonomy') ); // get parent term
  $children = get_term_children($term->term_id, get_query_var('taxonomy')); // get children
  // Category Views
  if (!is_single()) {
    // Main Categories
    if (!$parent->term_id && sizeof($children) > 0) {
      echo 'YOURE INSIDE A CATEGORY';
       $args = array(
         'child_of' => $term->term_id,
         'taxonomy' => $term->taxonomy,
         'hide_empty' => 1,
         'hierarchical' => true,
         'depth'  => 1,
         'title_li' => ''
         );?>

       <ul> <?php  wp_list_categories( $args ); ?></ul>
   <?php
    // Sub-Categories
    } elseif ($parent->term_id && sizeof($children) == 0) {
      echo 'YOURE INSIDE A SUB-CATEGORY';
      $subterm = get_queried_object();
      $tax = 'yourtaxonomy_type';
      $parents = $subterm->parent;
      $term_id = $subterm->term_id;
        echo "<ul>";
        wp_reset_postdata();
        wp_list_categories( array (
          'taxonomy'  => $tax,
          'pad_counts'=> 0,
          'title_li'  => '',
          'child_of'  => $subterm->parent,
        ));
        echo "</ul>";
    }
  // Single Views
  } else {
       echo 'YOURE INSIDE A SINGLE';
       //still trying to figure out how to show the single's category and siblings.
  }
?>