Hi,
1. Those options are not the ones you want – if you read them carefully, it is to display taxonomy terms as results, and not post types as results by taxonomy terms.
First, make sure to deselect those if you don’t need taxonomy terms as results. Then, you are probably looking for these options: searching by categories/terms and searching by custom fields.
2. I’m afraid the plugin can not do that, as it is a theme controlled feature. That would have to be custom coded somehow.