who prophecied in that period – In the days of those kings — Uziah, Yotam, Aḥaz, and Yeḥizkiyah, these four prophetic books were written, with the exception of Micah, which was not in the days of Uziah but was just in the days of Yotam, Aḥaz, and Yeḥizkiyah.

Ḥaggai Zekhariah and Malakhi were the end of the prophets – for they were in the Second Temple, in the second year of the Darius the Last.

Yeshaya preceded Yirmiyah and Yeḥezkel – for look, Yeshaya was in the days of Uziah, and Yirmiyah was in the days of Yoshiya and his sons prophecying in Jerusalem, and Yeḥezkel was in exile in the days of Ẓedekiyah.

Ruth, Psalms, Job etc – Ruth was first, in the "days the judges judged" (Ruth 1:1). Psalms David said, and he was before Job according to the one who says it was in the days of the Queen of Sheba, and that was after the three books of Shlomo.

Proverbs, Ecclesiastes – the two are wisdom books.

Song of Songs – it seems to me that it was said at the time of his old age.

Lamentations – Yirmiyah said them, and he was after Shlomo.

Daniel – after Yirmiyah, in the days of Nebuchadnezzar in exile.

Esther – after that, in the days of Aḥashverosh.

Ezra after that, in the days of Darius II who arose after Aḥashverosh.

according to the one who says Job was in the days of Moses – see below.

Ruth is also about suffering – famine and exile and the death of Elimelekh and his sons.

which has a future – in the end, the suffering turns to hope, for David comes from there.

And the passage of Bilaam – His prophecies and parables, although they were not his. Moses and his Torah used them with the order of his deeds.

and eight verses – From "And Moses died" (Deut. 34:5) to the end of the book.

Shmuel wrote his book and the book of Judges – For they came before him, and he rose and wrote their book, and what happened to Israel in their days, and also Ruth because it was in the days of the judges.

by hand of ten elders – He wrote in it things that these elders had said who were before him, and some were in his days like Asaph and Heiman and Yedutun of the Levite singers.

by the hand of First Adam — such as, "My unformed body Your eyes saw... how weighty Your purpose is to me" (Psalm 139) — First Adam wrote it.

by the hand of Malki-Ẓedek – "Said the LORD to my lord, [sit at my right hand]" and all that psalm (Psalm 110).

and by the hand of Avraham – as we have said above, Eitan the Ezraḥite is Avraham.

and by the hand of Moshe – "A prayer of Moshe" (Psalm 90) and all the eleven psalms in its order (Psalm 90 – 100).

and by Heiman "A maskil of Heiman" (Psalm 88)

and by Yedutun "For the leader, of Yedutun" (Psalm 77)