Luke,
the statistic page looks different because you have switched from Stat Method "Stat Only" to "Full". (Thank you for the pictures!)
I recommend to switch back to "Stats Only". That method is more efficient and does not require much db capacity.
I have also downloaded one of your episodes.
I'm not sure whether it will help or not, but you should disable the 3rd party statistics feature if you are not sure that you want to use one of these external services.
(Further you should use the Premium Content feature only if you aware of the way it works and you want to use it despite its disadvantages.)
The other settings look okay.
If changing these two settings does not help then the next step is to make sure that this not only a problem of presentation of the statistic results. Do the data base statics tables (wp_podpress_statcounts and wp_podpress_stats) contain entries? Or Are these tables empty?
Do these tables exist?
Is a .htaccess file in the root folder of your blog? (the folder where the wp-config.php is)(This file is may be a hidden file.)
Does it contain more than these default entries?
Tim