Tisha Ba'av and the Holocaust

Please summarize the story of Mrs. Dawn Adam in your own words:

In what way is the story of Mordechai Stern similar to that of Mrs. Adam?

What were the Nazis trying to do in both stories and how was the response of Mrs. Adam similar to the response of Mr. Stern?

This question is on the video with my (Rabbi Meyers) presenting. What is the general rule in halacha if a person is forced to do something which goes against Torah, but will be killed if they don't do it?

What three aveiros/sins are an exception to this rule? When would I have to die rather than do one of these aveiros?

How is the halacha different in times of persecution, when anti-semites (like Nazis) force us to do an aveira to get us to go against the Torah?

Did Mr. Stern and Mrs. Adam behave properly according to halacha, when they refused to eat? Please explain your answer.