At the final moments, and the subsequent end, of the Vietnam War, the South Vietnamese tried to flee Vietnam and get asylum in neighboring countries and the US (the North Vietnamese forces had won the conflict).
They've faced many problems when fleeing the country due to many reasons, including the local climate, diseases, and the region's geography. Many perished trying to scape, while others died due to ambushes and traps made by the North (during and after the war to attack American soldiers or traitors/opponents of the North Vietnamese regime).
The point of view that is expressed is third-person omniscient, since in this POV, all views of characters can be seen. In third-person limited, only the view of one character is seen, and in first person, it is narrated by "I" or "me." Here we see the point of view of the man and the dog, making it third-person omniscient.
If you're limiting the question to C or D, I would choose D.
In C, "her" is used as part of the subject, not an object.