Biblical scholars say there is no doubt that Moses could not have written the Pentateuch - it even has different names in different places, for his own father-in-law. They say that the Pentateuch actually had four principal authors, all of whom were anonymous, and that it was written many centuries after the time attributed to Moses. He did not write the Pentateuch and did not write about his own death.
Moses did not write about Jesus specifically in the Bible. The Old Testament, which includes the books traditionally attributed to Moses, contains prophecies and foreshadowing of Jesus, but Moses himself did not write about him.
The first five books of the Bible, known collectively as the Pentateuch, are traditionally attributed to Moses. A well known problem with this is that the Pentateuch reports the death of Moses. One solution put forward is that God told Moses of his own future, while another, more plausible solution is that The Pentateuch was completed after his death. Another, less well known problem with authorship by Moses is that his own father-in-law is given three different names in different places. You would expect that Moses would at least know the name of his own father-in-law! In fact, scholars tell us that the Pentateuch had not one, but four different authors, and was written many centuries after the time attributed to Moses. This is why there are so many 'doublets' - passages written twice and in each case somewhat differently. It is also the reason that the writing style changes from place to place, and why early Hebrew is mixed with a later version of the Hebrew language. Moses did not write the first books of the Bible and, of course, did not write of his own death.
Moses was committed to God mostly as he did write the ten commandments.
No
According to tradition, Moses died on the seventh of Adar, in 1272 BCE.
Most Christians would hold that Moses wrote Deuteronomy, although the obvious difficulty about the account of Moses' death causes questions for some. What must be remembered is that in claiming substantial Mosaic authorship of the Pentateuch, it does not necessarily mean that Moses wrote every single word. Nor does this affect the word being God's inspired word if someone such as Joshua added the epilogue about Moses' death.
Death
Joshua took over the leadership of the Jews, after the death of Moses.
Joshua was promoted, just before Moses died.
The death of Moses is recorded in the book of Deuteronomy. In Deuteronomy 34:1-12, it describes how Moses died on Mount Nebo and was buried by God in a valley in the land of Moab.
Moses wrote the complete Torah-scroll (Deuteronmy 31:24) as dictated by God (Exodus 24:12), finishing it shortly before his death.
Moses Cleaveland died on November 16, 1806 at the age of 52.