This is a brief, 2-step process that assumes the following:

1.) You have access to your database via phpmyadmin or your webhost's control panel. 

2.) Your original "Home" link was totally deleted from the database. 

2 Simple Steps to Restore your Home menu item:

1.) Open your Joomla install's database in PHPMyAdmin/Cpanel.

2.) Run the following SQL query on your database:

INSERT INTO `jos_menu` VALUES (1, 'mainmenu', 'Home', 'index.php?option=com_frontpage', 'components', 1, 0, 10, 0, 1, 0, '0000-00-00 00:00:00', 0, 0, 0, 3, 'leading=1\r\nintro=2\r\nlink=1\r\nimage=1\r\npage_title=0\r\nheader=Welcome to the Frontpage\r\norderby_sec=front\r\nprint=0\r\npdf=0\r\nemail=0\r\nback_button=0');

That's it! You should have a restored "Home" link now. Don't ever delete it again. Ever. This menu item, even if you've opted to use iJoomla magazine or another com_frontpage replacement, holds important variables you'll need access to from time to time, or if you decide to move away from the replacement solution. Instead of deleting this link, just move it to an unused menu, or unpublish it.