Here "The woman" probably refers to the group of believers who live in "Babylon." Possible meanings for "Babylon" are 1) it is a symbol for the city of Rome, 2) it is a symbol for anywhere that Christians are suffering, or 3) it refers literally to the city of Babylon. It most likely refers to the city of Rome. (See: [[rc://en/ta/man/translate/writing-symlanguage]])
This can be stated in active form. Alternate translation: "whom God has chosen as he has chosen you" (See: [[rc://en/ta/man/translate/figs-activepassive]])
Peter speaks of Mark as if he were his spiritual son. Alternate translation: "my spiritual son" or "who is like a son to me" (See: [[rc://en/ta/man/translate/figs-metaphor]])