It should work provided that the component area has items.

I am willing to let someone take a stab at the back end of this thing.

I just don't know where to go and fix this issue.

This is not really issue, and it is not really related to K2.
This is how Joomla! works, you can look at Joomla!'s docs on how Joomla! generates its feeds.
I have given you example URLs, you need to populate your own based on these. All you need is to pretty much a suffix to the (component's) menu item you need.