Psalm 95:11 - Matthew 11:28-30 - Hebrews 4:1-11 - Hebrews 10:1 - Jeremiah 31:33. The first 3 commandments are on how to love God, the 4th is to "keep a day", and the rest are on how to love others. Something doesn't fit here does it? Jesus is the bridge that connects and fulfills the law. We probably will not find common ground on this topic, but the scriptures are certainly there to support the idea that Jesus is the Sabbath.
I agree with a few things that something doesn't fit and we will probably not agree.
None of the scripture say Jesus is the Sabbath. Giving rest and the Sabbath commandment are two different things.
Let's let scripture interpret scripture.
God spoke and wrote Exodus 20:8
“Remember the Sabbath day, to keep it holy. 9 Six days you shall labor and do all your work, 10
but the seventh day is the Sabbath of the Lord your God. In it you shall do no work: you, nor your son, nor your daughter, nor your male servant, nor your female servant, nor your cattle, nor your stranger who
is within your gates. 11 For
in six days the Lord made the heavens and the earth, the sea, and all that
is in them, and rested the seventh day.
Therefore the Lord blessed the Sabbath day and hallowed it.
This is the 4th commandment. No where does it say Jesus is the Sabbath. It plainly tells us to Remember and keep Holy the Sabbath day. We should do our work on six days Sunday to Friday and the seventh day we rest. We rest so we can keep the Sabbath holy. It also reference to Creation where God worked six days and rested on the seventh day. He also blessed the seventh day from creation and hallowed it. God does not need rest, this is meant to be an example for us.
There are two different rests in the scripture. The seventh day Sabbath rest that is the commandment of God and the rest in Christ we receive when we obey.
Hebrews is referring to both rests. This rest is the rest we receive in Christ when we obey God's commandments.
The Israelites did not receive Christs rest because they disobeyed God's Sabbath and 4th commandment.
Hebrews 4:6 and those to whom it was first preached
did not enter because of disobedience,
Ezekiel 20: 13 Yet the house of Israel rebelled against Me in the wilderness; they did not walk in My statutes; they despised My judgments, ‘which,
if a man does, he shall live by them’;
and they greatly defiled My Sabbaths.
I am not sure why you quoted the New Covenant Jer 31:33 this does not say Jesus is the Sabbath. God is talking here about His laws in the New Covenant now written on our hearts and mind. His laws of course include the 4th commandment and the holy day of the Lord thy God. They are written in our hearts and we obey because of our love for God John 14:15, John 15:10, 1 John 5:3 and in our minds so we will do them. Be doers of the Word, not just hearers. James 1:22
Jer. 31:33 But this
is the covenant that I will make with the house of Israel after those days, says the LORD: I will put My law in their minds, and write it on their hearts; and I will be their God, and they shall be My people.
I am not finding anything in the scriptures you posted that says Jesus is the Sabbath and we can disregard the 4th commandment that God asked for us to Remember and keep holy.