I’m running a website of a cultural historical association. The association, since 1970, has published 50 publications. I bought the
Pro version to simplify the search of publications based on 3 criteria: authors, subjects, and categories.

Each publication corresponds to an article. To feed the database, I have created 3 taxonomy (authors, topics, categories) attached to the post.

In my form, I have added 3 menu with my 3 taxonomies, counting and ajax enabled.

I have three problems/questions:
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1. Choosing a preference between authors, topics and categories, the results appear, but the menu of other taxonomies remain intact (should disappear if not applicable).

For example: If I select the first author (Accattini Giorgio), the search result should be a single publication. The problem is that the menu of publications shows all entries with the total amount of post instead of “Studies Lunigianesi (1)”.
Screenshot: http://goo.gl/EJNScE
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2. After selecting a product, the search form is reset (should remain selected entries of the last search session).
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3. How can I place within each publication, a button “back to search results”?
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4. In my website I have one category for news, one for pubblications and one for posters of events. How can I limit searching to pubblications category?
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Thank you!!!
Andrea