Is there a way to add the comment section to the node edit page?
Take a look at this for setting up a custom edit template if you don't want it site wide: http://www.nybergtechnology.com/blog/2013/11/11/how-create-edit-tpl-node-type-drupal-7

then you should be able to add:

&lt;?php print render($content['links']); ?&gt;  // only if you want the links to show

&lt;?php print render($content['comments']); ?&gt;


to the bottom, to produce the comments. (I didn't test this, so it may be gibberish)