Hi,
1. I assume the items shown there might be ones that does not have any term from that taxonomy assigned to them. For that, I recommend turning off this option: https://i.imgur.com/nxLzuJA.png
2. The value must exist, as it is pulled directly from the wp_postmeta database. Instead of using the {get_values}, you can still enter the desired values manually: https://i.imgur.com/m2IR1xg.png
That should be the simplest solution.
3. You can use the “asp_results_show” event. That fires when the results are appended to the results container and the plugin begins displaying the container.