This plugin is generating a Javascript error when installed on WP 3.3+ Due to that error, you can't use JS functionalities embedded in the WP administration.
While waiting for the author to fix the issue, here is a workaround:
Download the latest version from your FTP of the file "/plugins/electric-studio.../js/electric_studio_download_counter.js"
Open the file
Under "jQuery(function($){"
Add the following lines
if(typeof(esdcFileType)=='undefined')
return false;
Save the file
Upload it to your FTP.
http://wordpress.org/extend/plugins/electric-studio-download-counter/