in this section those interested can find historical danish editions of martinus' main work livets bog (the book of life), namely the original manuscript and the first editions of livets bog, vols. 1-7.

How would the previous sentence be correctly capitalized?
Answer: In this section those interested can find historical Danish editions of Martinus' main work Livets Bog (The Book of Life), namely the original manuscript and the first editions of Livets Bog, vols. 1-7.
with a group of four families he could never organize a drive. he apologized and said it had really been only a misunderstanding, but he would give back all the meat.

How would the previous sentence be correctly capitalized?
Answer: With a group of four families he could never organize a drive. He apologized and said it had really been only a misunderstanding, but he would give back all the meat.
staying abroad for up to 3 months

How would the previous sentence be correctly capitalized?
Answer: Staying abroad for up to 3 months
but apple won't budge, and its customers remain at risk.

How would the previous sentence be correctly capitalized?
Answer: But Apple won't budge, and its customers remain at risk.