Hi,
sorry for late reply, it was night for us.

The problem is due to conflict between our framework and Zoo component framework.

Why Zoo works and Social Network plugin not?
Zoo load all own framework in each page (just by creating a menu item of type Zoo), this is a really bad thing. Also on pages where you does not use Zoo then entire framework is called (performance issues).
Instead Zoo works because our plugin load own framework only when it is required (so not loaded in zoo pages).

Solution
Try to replace file at /components/zoo/router.php with attached file. This file is edited to avoid to load Zoo framework if it is called by a simple Zoo menu item.

We are working for a final solution (not a workaround like this), but this require many time and I don't know if it will be possible.