Now you should wait for some orders and see if is actually tracking :) There is also a good chrome extension for the debugging GA https://chrome.google.com/webstore/detail/jnkmfdileelhofjcijamephohjechhna
I had tried installing the plugin/widget on a 2.2 version and couldn't get it to work. I realized that I had to load the latest version. I installed the latest source code in CodePlex for 01/16/2012. I didn't have errors but I couldn't see it on the Plugin list to install.
I stepped through the plugin list and, low and behold, nopCommerce thinks the current ver. is 2.4 from the code I downloaded today. I added 2.3, 2.4 to the versions in the description.txt and I was able to see and install the plugin. I'll let you know how it works.
However, in the "Edit Widget Details", it is asking for Plugins.Widgets.GoogleAnalytics.EcommerceScript and Plugins.Widgets.GoogleAnalytics.EcommerceDetailScript.
I don't know what I would need to put into these textareas.