Anibesh Thapa

Make a Child theme.Then copy header.php on your child theme. Replace the lines 131 – 132 with the code below in header.php of your child theme.

/*to exclude some categories */
		$args = array( 'hide_empty' => 1,
                               'orderby'    => 'id');

Please visit the link for more information on “orderby” options. https://codex.www.ads-software.com/Function_Reference/get_categories

Thanks,
Anibesh

Hello thehotpeg,
Make a Child theme and copy archive.php, category.php and author.php from parent theme. Then remove below code from these files(childtheme).

<!-- Corner Stamp: It will always remaing to the right top of the page -->
  <section class="corner-stamp post columns four item">
  <header><h3><?php _e('Archives', 'sampression'); ?></h3></header>
  <div class="entry">
    <ul class="categories archives">
        <?php
		// Getting Archive Lists
		 wp_get_archives( '' ); ?>
    </ul>
  </div>

   <header><h3><?php _e('Categories', 'sampression'); ?></h3></header>
  <div class="entry">
    <ul class="categories">
    	<?php
		// Getting Categories Lists
		 wp_list_categories('title_li'); ?>
    </ul>
  </div>
  </section>
  <!-- .corner-stamp -->

For Second menu, you have to create a new menu on WordPress dashboard and add below code on childtheme header.php
<?php wp_nav_menu( array('menu' => 'MENU_NAV' )); ?>

Thanks,
Anibesh