The correct answers are
A. The practice of the Tikkun Leil Shavuot was put forth by Rabbi Isaac Luria in the sixteenth century in Safed. Luria developed a specific text known as the Tikkun Leil Shavuot which comprised written, oral, and mystical aspects of the Torah, and was recited overnight until dawn.
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C. Solomon ben Moses HaLevi Alkabetz, a renowned rabbi and Kabbalist, and Joseph Karo, author of the codification of Jewish law known as the Shulchan Aruch, were contemporaries in the late 1400’s and early 1500’s, who studied and lectured together in Turkey. Inspired by their mystical discussions, Karo developed the custom of staying awake all night on Shavuot to study Torah, and called this session the Tikkun Leil Shavuot.
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E. According to the Midrash, on the morning that Moses was supposed to go up to Mt. Sinai to receive the Torah, the Israelites overslept. As a result, Moses was almost late to get to the top of the mountain, much to God’s dismay. The tradition of staying up all night to study Torah is a way for the Jews to atone for that error.