Concerning the rendering that you seems report that it display the wrong content, perhaps this is related to a cache problem with your template.
Anyway, we have released a new Article Sharing version 1.1.8 that fix some issues reported by other customers like the "read more" button that was not correctly displayed.
I suggest that you try this latest version 1.1.8 to see if you still have the problem.
See the FAQ for the procedure to get the latest version.
www.jms2win.com/en/faq/faq-joomla-multi-sites#cat-122