As for the first question, taxonomies can't be returned as results, only terms.
As for the second, I'm guessing you are having images from a different domain or url. There is a quick solution to this, here you can find it in the knowledgebase: https://wp-dreams.com/knowledge-base/some-images-are-broken-what-to-do/
Thank you for the very clear explanation and proper ticket!Best,
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