In my local installation as well as your
demo , the facebook/g+/twittercons, does not display when using the following code in a custom module. Judging by the joomlaplates.css I can't see the reason why they aren't
<ul class="spicesocialwidget">
<li class="facebook"><a rel="nofollow" href="http://www.facebook.com/" target="_blank" title="facebook"></a></li>
<li class="googleplus"><a rel="nofollow" href="https://plus.google.com/" target="_blank" title="googleplus"></a></li>
<li class="pinterest"><a rel="nofollow" href="http://pinterest.com/" target="_blank" title="pinterest"></a></li>
<li class="twitter"><a rel="nofollow" href="http://twitter.com/" target="_blank" title="twitter"></a></li>
<li class="rss"><a rel="nofollow" href="http://feedburner.com/" target="_blank" title="rss"></a></li>
<li class="skype"><a rel="nofollow" href="http://www.skype.com/" target="_blank" title="Skype"></a></li>
<li class="vimeo"><a rel="nofollow" href="http://www.vimeo.com/" target="_blank" title="vimeo"></a></li>
<li class="dribbble"><a rel="nofollow" href="http://www.dribbble.com/" target="_blank" title="dribble"></a></li>
<li class="flickr"><a rel="nofollow" href="http://www.flickr.com/" target="_blank" title="flickr"></a></li>
<li class="linkedin"><a rel="nofollow" href="http://www.linkedin.com/" target="_blank" title="linkedin"></a></li>
<li class="youtube"><a rel="nofollow" href="http://www.youtube.com/" target="_blank" title="youtube"></a></li>
</ul>