Hi dcogen,
Thanks for using my plugin, and I apologize for the troubles. Oddly enough, when I went to your site in Firefox v21, I had no troubles navigating the slider by clicking the arrows, so I'm not sure why it isn't working for you.
Regarding the slider hyperlinks not being active, technically they are but the mouse isn't changing because of how the browsers are interpreting the CSS. If you put your mouse above the control-nav container (the dots that allow you to jump to a specific image in the carousel), you'll note the image now becomes clickable. If you use Chrome Developer Tools or Firebug on Firefox, you'll see the control-nav container is covering nearly the entire image. For whatever reason, IE ignores the container. Ultimately, you'll need to locate your control-nav container at or below the bottom of the image for the images to work as expected.