The error is happening when the code uses the function "mysqli_stmt_bind_result". This function is used to return results from prepared statements. I'm not sure why this happens on your server. I would guess it is a server configuration issue, but it is really hard to say.
One solution is to turn off prepared statements in the rsobj.php file. I've done that and your pages now appear to open properly, but it is more of a work around than a solution since I think the issue is in the server or database itself.
Have you tried running a repair on the database and rebooting the server? That might work as well. Does it work in your local testing environment?