The principle of kol sheeino bzeh achar zeh - vlo b'vat achat - application to the laws of ma'aser and the meaning behind this halacha and concept

The halacha of two alleyways and the courtyard in the middle- principle of kofin al midat sedom and when it is applied

The halachic concept, source and depth behind the principle of a person's 4 amot of space- application to mechitza in shul

The principle of Rabbi Akiva being the authority in a machloket and Rabbi Yehuda's opinion being regarded over Rabbi Meir- application to the tefilla of Avinu Malkeinu

Defending a city from a siege through defense or preemptive strikes

Permission to leave techum Shabbat to save a life, application to hatzalah returning from an emergency call on Shabbat

Is there a vertical Shabbat techum- boundary above 10 tefachim? Applications to riding on a wagon or bicycle on Shabbat

The parameters and background to the institution of techum Shabbat, halachic status of food that went beyond the techum and was then brought back in intentionally

Halacha of fast days that fall on Friday- do we break the fast before Shabbat begins? private vs. Public fast days, the story of Rabbi Akiva and application to breaking fasts when one is ill, choice between tzom gedaliah and Yom Kippur fasting