Hi, this is a somewhat general reply, but here goes …

You should not have any taxonomy/meta field appear more than once in any one form. It is a common mistake users make. Instead you should have Custom Taxonomies and Custom (Meta) fields for your data. I make very few sites that genuinely are blogs, and so I switch off normal posts, categories and tags, and use only Custom Post Types, Custom Taxonomies and Custom (meta) fields. I also do not have hierarchical taxonomies. Each parent that you might want to do this with should be a separate taxonomy. They will automatically filter if you have Auto Count ‘on’ and hide empty values ‘on’ for each form field.

The latter gives you a much cleaner ‘conditionality’ to select fields. As the the original question, let me know how you get on?

I generally use the CPT UI and ACF plugins to add this functionality.

Q. How can i put dropdown box in horizontal way ?
A. You will need some custom css to make it horizontal. If you search this forum for the word horizontal you will some examples. Be wary of what it looks like in responsive modes.

Q. How disable the page result when i select one filter in dropdown list (i want submit button be the onlay to make appear the results) ?
A. You must have the option Auto submit form? unchecked.

Q. How can i make appear the result in the same page, bellow the the search bar ?
A. This depends on your theme and the display results method you choose. You have chosen ‘As an Archive’, so you must edit the search.php template and add a shortcode to add the search form to the page, such as <?php echo do_shortcode('searchandfilter id="414"');?>