JFBinvite not working correctly

The link you posted for your site isn't working for me, so I can't 'look' at the problem directly. I'll give what little advice I can from the descriptions you gave.

1) Template disruption: Unfortunately, there may not be much we can do about this. The invite module is done through an iFrame to Facebook. They force this so that the code isn't on your page, which prevents pesky admins from forcing users to send invites or (even worse) do it silently without the user knowing. Because it's in an iFrame though, when the "Send confirmation" pops up, the iFrame doesn't automatically resize. This is a Facebook issue that's been ranted about by developers for a long time. We have some javascript to automatically increase the width of the div that the invite module is when we detect that the confirmation dialog box has appeared. As you can tell, in some situations, this causes problems as it 'blows' up the sidebar or whatever the invite module is contained in.
Unfortunately, there's not much else we can do about this, as the alternative is to not 'grow' the invite module at all (which then cuts off the confirmation box). Our best suggestion is to try the "Full View" instead of the condensed (if that's what you're using). Many people like it better, and it generally doesn't have to 'grow' as much, depending on how it's configured.

Whew.
2) Invitations. The URL you posted that it's taking the user to looks like an ISP trying to search for something with a mis-spelled URL. In your case, it looks like you have 4 wwww's. Try removing that extra one and see if it works. Again, the URL you posted for "This is my site" didn't work for me, but that could just be some random network issue.. hopefully.

Good luck!

Ah, yes, your "My site" link was missing the 2nd 'n' in wingchun.

For the invite module, I went to my Profile page and noticed the full module was already there (at the bottom). It resized well for me and the URL in the invitation, when accepted, brought me to your page. Not sure if you already found the wwww issue.

Check to ensure your "Invitee Welcome URL" is correct. It needs to start with http:// and should be a page on your site (though, I don't think this is a requirement). If you think that's setup correctly, send us a link to the URL that the Invite module is published at, and we can likely diagnose the issue quickly.

Thanks!

That's for posting back Neil, and letting us know you got it going. If you run into anything else, or need help, you know where to find us!