IN THE CAVE
1)
Miraculous fruit -
A carob tree miraculously sprouted at the entrance to the cave, to provide them with food. Why wasn't the fruit of the new tree forbidden due to Orlah?
2)
Time for Davening -
Did Rebbi Shimon take out time from his learning in order to Daven? This seems to contradict the Gemara (Shabbos 11a) that one whose full-time occupation is Torah-learning, such as Rebbi Shimon, is exempt!
3)
Duration -
What is the deeper meaning in their 13 year stay?
1. Yosef Da'as to Shabbos 33:p2, ד"ה איתבו תרהסר שני


