You might be disabling the wrong module, or maybe there's a copy somewhere with a different name.
The best way to find and disable the correct module is to login to your site on the front-end. Go to http://nerdyfuture.byethost24.com/?option=com_users&view=login and login with your superadmin user. Then return to your homepage, and when hovering over your modules you should see an icon similar to this:
Hover over the icon to see some details about the module (Name and position), and click it to edit it in the back-end. Now you can disable it, and once you click Save & Close it should be gone.
Update
It's possible that the news section is from a module called Mini-frontpage (from what I see in your source code). Make sure you've located and disabled all instances of this module. You can filter the module list by module type in the Joomla module manager like this:
Update 2
Those elements you want to remove are not modules, they are your featured/blog articles loaded in the component area. Basically you have to find a way to hide the component (loaded with <jdoc:include type="component" /> in your template). Some templates has a setting for this, if not you have to create an if-else statement using PHP to determine if the component should be loaded or not. Here's an article on how to detect if the user is viewing the frontpage.
You can try to replace <jdoc:include type="component" /> with the following code in your index.php file:
<?php
$app = JFactory::getApplication();
$menu = $app->getMenu();
if ($menu->getActive() != $menu->getDefault()) {
echo '<jdoc:include type="component" />';
}
?>
This should load the main component area on all pages except your homepage.
