Depends upon how you view the first covenant. If the first covenant was with Adam and Eve, then the second covenant was with Noah (Genesis 6:18). If the first true convenant was with Noah, then the second covenant was with Abraham. (Genesis 15:18)
With Abraham. See Genesis chapter15.
The second covenant was the one that God gave at Mount Sinai, which reinforced the covenant that God had given to Abraham, and told the Jews what they would have to do as their side of the covenant. God again promised to stay with the Jews and never to abandon them, because they were his chosen people. (see the related link)
God made a covenant with Noah by promising not to flood the world again
Jesus
In the Bible, God made a covenant with Adam called the Covenant of Works. This covenant required Adam to obey God's command not to eat from the tree of the knowledge of good and evil in the Garden of Eden.
The second covenant was not made between God and Abraham. It was made between God & Moses at Mount Sinai. This is where the ten commandments originated.
There can only be two parts to a covenant, the first is making a covenant and the second is the keeping of it. In the bible it means an agreement between God and his people in which God makes certain promises and requires certain behaviour from them in return.
God made many covenants in the Old Testament, but I assume you are speaking about the "New Covenant" vs the "Old Covenant" which God gave Israel through Moses at Mount Sinai. The "New Covenant" or second was mentioned in the Old Testament several times as a covenant which was yet future. The "New Covenant" started in the New Testament when Jesus Christ died on the cross of Calvary, was buried, and was resurrected the third day. The 'Old Covenant" was by Law and the "New Covenant" was by grace.
No I don't think so. God's covenant was with the nation of Israel. Amos' message to the kingdoms of Israel and Judah was they were not keeping their part of God's covenant with them.
Christians believe that God's covenant with David is ultimately fulfilled in Jesus Christ, who is considered by many to be from the line of David. Jesus is seen as the eternal king and the fulfillment of the promise of a kingdom that will last forever. This belief is emphasized in the New Testament, particularly in the Gospels and in Christian theology.
The covenant was with God.
An agreement with God is usually called a covenant.