The video below will demonstrate how I used Joomla + K2 to build an advanced, custom home page layout using regular Joomla modules. This customization and technique will work on any Joomla 1.5.x, 2.5.x or 3.x site.
Download the template override files attached to this post and upload them into your Joomla template here:
/templates/your-template/html/com_k2/
So the full path will look like this:
/templates/your-template/html/com_k2/home-override/category.php
Watch the video here:
This will create a new module position on your template that you can choose either in the menu item or k2 category parameters. Then you can drag, drop, reorder, publish and unpublish, using Joomla's standard module manager.