Just upgraded to WP 3.5 and the latest version of this plugin and now when I do a search on a term it returns the first page of results correctly. However if I click on the link to retrieve more results on the second page it links back to my home page even though the page id seems correct.
First page of results shows as this:
http://oursite.com/?s=news and returns the results correctly
clicking on the retrieval of the second page of results shows this:
http://oursite.com/page/2/?s=news but displays the home page of the site.
(note I just changed our actual domain name to oursite)
I just tried this on another domain which is still running WP 3.42 and this plugin at version 3.05 and it works correctly for all result pages.