darooaza Hi. First problem looks like an issue with lacking landing pages. Joomla, by default, when no landing page is created uses frontpage to show articles and since You have NSP set on frontpage than all articles will show it. A fix will be to make a category layout page for all the articles used in NSP.
For Your second issue add this to css:
#nsp-nsp-115 .readon-button { display: none; }
