How To Remove Menu Tabs From Custom User Dashboard
You can do that from your theme's template.php file by implementing the theme_menu_local_task().

Using this function you can also rename specific tabs.

Code for both actions is below.
It is taken from this file of our Ultima theme.

&lt;?php

/**
 * @file
 * Theme local task function.
 *
 * Created by: Topsitemakers
 * http://www.topsitemakers.com/
 */

/**
 * Implements theme_menu_local_task().
 */
function YOURTHEME_menu_local_task(&amp;$vars) {

  $link = $vars['element']['#link'];

  // List of tab names to be excluded; t() function will ensure that the
  // tab name will be matched and excluded on multilingual sites as well.
  // This is useful in case you have many modules installed on the site and
  // large number of tabs break the layout of the theme.
  $excluded_links = array(
    t('View'),
  );
  if (in_array($link['title'], $excluded_links)) {
    // Skip all further processing.
    return;
  }

  // Uncomment code below to rename the "View" tab for certain node types
  /*
  // Check if the link title is "View"
  if ($link['title'] == t('View')) {
    // Make sure we are on single node page
    if (arg(0) == 'node' &amp;&amp; arg(1)) {
      $node = node_load(arg(1));
      // Do this for specific content types
      if ($node-&gt;type == 'page') {
        $link['title'] = t('View full page');
      }
    }
  }
  */

  // Continue building the local task link
  $link_text = $link['title'];

  if (!empty($vars['element']['#active'])) {
    // Add text to indicate active tab for non-visual users.
    $active = '&lt;span class="element-invisible"&gt;' . t('(active tab)') . '&lt;/span&gt;';

    // If the link does not contain HTML already, check_plain() it now.
    // After we set 'html'=TRUE the link will not be sanitized by l().
    if (empty($link['localized_options']['html'])) {
      $link['title'] = check_plain($link['title']);
    }
    $link['localized_options']['html'] = TRUE;
    $link_text = t('!local-task-title!active', array('!local-task-title' =&gt; $link['title'], '!active' =&gt; $active));
  }

  return '&lt;li' . (!empty($vars['element']['#active']) ? ' class="active"' : '') . '&gt;' . l($link_text, $link['href'], $link['localized_options']) . "&lt;/li&gt;\n";

}