can you update your site

May I suggest beginning with Strunk and White's The Elements of Style?

  www.amazon.com/dp/0205309. . . via @amazon 

In the book, I have a section on how to respond (generically, not to each fallacy). Basically, it is situational and depends quite a bit on the relationship you have with your interlocutor. For example, if it is a cordial relationship (friendly disagreement), you may want to avoid even using the word "fallacy" let alone name it, and just explain why the reasoning used was poor, keeping it impersonal. In a more formal debate, pointing out the fallacy and the name could be a good strategy as people generally know what fallacies mean—they mean one is not reasoning properly. And by saying the same of the fallacy it can serve as a shortcut to all those who are well aware of the fallacies.

I don't think there is a custom way to respond to each fallacy, although some fallacies may lend themselves to a custom response.