Is there an online copy of English translation of Pramanavarttika of Shri Dharmakirthi?
Here is a chapter.
I didn't see any full translations, but you can find bits like this, also like the second chapter you found.
https://www.academia.edu/30822030/Dharmakirtis_Pramanavarttika_An_annotated_translation_of_the_fourth_chapter_Vol_1_k_1_148_