(1) What are these promises made to the sheep? If they are not covenant promises, then what are they? If they are covenant promises, then which covenant? Not the new, you said.
(2) On what terms were the elect chosen before the foundation of the world and predestined if not the new covenant?
It is not clear how those passages support your argument. I will need you to do a bit more than just quote them—like make a case.
Oh, good grief!
I didn't think that I would have to explain the passages I quoted; they are self-evident. Anyway, here goes...
Jer. 31:31-34 (Webster)
31 Behold, the days come, saith the LORD, that I will make a new covenant with the house of Israel, and with the house of Judah:
32 Not according to the covenant that I made with their fathers in the day
that I took them by the hand to bring them out of the land of Egypt; which my covenant they broke, although I was an husband to them, saith the LORD: {although...: or, should I have continued an husband unto them?}
33 But this
shall be the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people.
34 And they shall teach no more every man his neighbour, and every man his brother, saying, Know the LORD: for they shall all know me, from the least of them to the greatest of them, saith the LORD: for I will forgive their iniquity, and I will remember their sin no more.
P.S. The promises to God's sheep are in John 10. They will be brought to Jesus and there will be one fold and one Shepherd. They are clearly not part of that fold until they are brought to Jesus in faith.
This is God's promise of the New Covenant: God promises to put his law in their inner man and to write it upon their hearts. He also promises that everyone who is in the New Covenant will know him, that he will forgive their iniquity and not remember their sin.
Ez. 36:26,27 (Webster)
26 A new heart also will I give you, and a new spirit will I put within you: and I will take away the stony heart out of your flesh, and I will give you an heart of flesh.
27 And I will put my spirit within you, and cause you to walk in my statutes, and ye shall keep my judgments, and do
them.
This is also God's promise of the New Covenant, adding some more detail: God will give everyone in the New Covenant a new heart/spirit, taking away the hard heart and replacing it with a soft one. He will also put his Holy Spirit within everyone in the New Covenant and cause them to walk in his ways.
To summarise: everyone in the New Covenant has the following:
1) A new soft heart/spirit (i.e. born again)
2) Forgiveness of sin
3) God's law written in the heart
4) God's Holy Spirit indwelling
5) Caused to walk in God's ways
This obviously does not apply to infants who have been sprinkled, but who have not been born again. Entry to the New Covenant is not by being born physically, to Christian parents, but by being BORN AGAIN, by the Spirit of God, resulting in repentance and faith in Jesus Christ.