Problem:
When we select an option in a filter, the other filters do not display all the available options.

Solution:
That is the default feature in Toolset searches, the possibility to offer only options that will produce results. You can disable it on the "View Search" block level. Check this screenshot http://prntscr.com/16wqox1

Problem:
The user would like to enqueue his child theme's styles after blocks styles.

Solution:
Toolset Blocks has implemented a lazy load mechanism for its styles, using Javascript. If you want to use its style as a dependency, you will need to disable the lazy loading mechanism. That can be done using a constant in the wp-config.php file:

define( 'TB_SCRIPT_STYLE_LAZY_LOAD', false );

After that, the styles will be enqueued in the default way, and you will be able to set it as a dependency for your child theme's styles.

So you can depend on the "toolset-blocks-css". For example:

if ( !function_exists( 'child_theme_configurator_css' ) ):
    function child_theme_configurator_css() {
        wp_enqueue_style( 'chld_thm_cfg_child', trailingslashit( get_stylesheet_directory_uri() ) . 'style.css', array( 'twenty-twenty-one-style','twenty-twenty-one-style','twenty-twenty-one-print-style', 'toolset-blocks-css' ) );
    }
endif;
add_action( 'wp_enqueue_scripts', 'child_theme_configurator_css', 10 );

Problem:
The user would like to refresh a view's results for each 5s.

Solution:
That's not available out of the box, but it can be done with a simple workaround.

1. Add a search part to the view, that has a submit button.
2. Make this search part hidden using CSS.
3. Add a custom Javascript code to the view that will trigger a submit button after 5s.

Relevant Documentation:
https://toolset.com/documentation/programmer-reference/adding-custom-javascript-code-to-views-that-use-ajax/