Genealogy / I need help translating few Polish names and places. [4]

Hello!
It's my first thread here.
I need help translating few Polish names and surnames.
I am looking for my distant relatives, about whom there is almost no information. There are no documents in Polish either.

My great-grandfather was born in Austria-Hungary. He participated in the war and ended up in Russia as a prisoner of war in 1915. There he met my grandmother. She did not want to go to Austria and he settled in Russia. During the WWII, he was accused of a crime and sent to prison, where he soon died. His family was exiled to the Russian Far East. He was later rehabilitated.

We know that he had a brother, his brother moved from Austria to the USA.
I am looking for relatives. But I have difficulties, since I only have documents in Russian.

Grandfather's name was Pyotr Frantsevich Bober (this is the transliteration that google offers). Based on his patronymic, his father's name was Franz or something similar. He was born in Domarets village, Povet-Brzhozevsky district, Przemysl province (not sure if this is the correct translation). He was from a peasant family, but this may not be true. Because in the USSR, many hid their true origins.

It would help me a lot if someone could help with the translation of these names and places into Polish. As well as their possible English variants for searching in English databases.

Could he be Jewish? I found information that this is a Jewish surname.