Yes, Solomon was the son of King David, and became king after him.
Rehoboam
I think he was eight years old when he became king
No, it was David who became king of Israel.
King David and Bathsheba were the parents of Solomon, who later became king when his father David died.
His son, King Solomon.
Most historians place Solomon's ascent to the throne at about 970 BC
His older four brothers died...
Yes, King Solomon ruled before King Hezekiah. King Solomon reigned in Israel during the 10th century BC, while King Hezekiah ruled in the 8th century BC.
He had 3 older brothers who all ruled as King before him Aethelbald, Aethelbert and Aethelred.
On the contrary, tradition states that King Solomon wrote Kohellet (Ecclesiastes) within several years of the end of his life. See also the Related Link.More about King Solomon
-----------------------There are two biblical narratives that tell of Solomon's succession to David. The first narrative, in 1 Kings, is somewhat muddled and ends with David, on his deathbed choosing Solomon to be his successor. The second narrative is in 1 Chronicles, which was a later rewrite of the Book of Kings and other books in the Deuteronomic history. Possibly recognising the problems inherent in the account in 1 Kings, the Chronicler simply has David, while still healthy and active, announce that God has chosen Solomon as his heir.Since Solomon had older brothers, it was not anticipated in the 1 Kings story that Solomon would ever be king, until David was near death, so there was no reason for David to prepare him to be king. The story in 1 Chronicles is more flexible, since David had some time, perhaps years, to prepare Solomon to be king, before his own death.