You should include "make sure you've portforwarded", also that you can do view-source:yourhotel.com/client and try all links to confirm they are right.
Have you checked dev console? CTRL + SHIFT + C ?
A small detail I see is " C:\inetpub\wwwroot\swf\c_images\Badgeparts/generated" Use a \ before generated not /, I don't think it matters but sometimes it is just small silly things.
You don't have to care about external_variables, make sure you have the folder "badgeparts" in your c_images, otherwise download it here http://arcturus.wf/mirrors/Badgeparts.zip