This is what is sometimes called the Proto-Gospel. We see that this is foretelling of the day when Jesus, being full man and fully God, will defeat the serpent, Satan.
St. Peter in the New Testament will write in his epistles that this as a sort of baptism. The ark, called a tevah, will be revisited as the idea of Jesus.
We see another foreshadowing of the messiah in this Proto- Eucharist.
This is a foreshadowing of when the Father will sacrifice His Son for our sins. Notice the idea of a replacement going on: subsitutionary atonement.
We see a parallel between this reading and what we will see in the New Testament with King Herod and the killing of the firstborn and indeed this "tevah," or ark that holds Moses much like the ark of the covenant, Mary will protect her son, Jesus.
Jesus will reference this verse in the seven "I AM" statements in the Gospel of St. John. Jesus will convey His divinity using this Hebrew verb to be.
An interesting note about this is that some Hebrew scholars note that the word for snake here can be the word for crcodile. So, the same thing that caused the destruction of their children is the very thing that will bring redemption.
It is the death of the King's first born that delivers the people from captivity, we can see the parallel with Jesus in this passage as well. The death of Jesus on the cross allows for our redemption and his blood on the cross saves us from the wrath of God just as the blood on their doorposts saved their sons.
We see Jesus in the bread of the presence. We see the altar and the lampstand. His tabernacle is in the midst of the people.
We see the offering that is made in the New Testament corresponds to the fact that Jesus was born low and was not highly esteemed.
The Day of Atonement is so important to us because it is this day that is the foreshadowing of the redemption of mankind on the cross.
The key point here is the very thing that caused the suffering saved them. Adam and Eve sinned and we need a redeemer,so God uses the same to save them from their sin.
This prayer is the shema prayer that would be said at least twice a day. This is a prayer that Jesus will reference in the Torah. This is the prayer that is referenced in the Summary of the Law.
We see the protection God provided in the wilderness. He dwelled with them. Just as St. John 1 tells us that Jesus tabernacled among us!
We see that God promises to raise up a prophet like Moses, the Messiah! In fact, this is who the Jewish leaders are referring to when they ask St. John the Baptist if he is the prophet.
The Torah is not far from them. However, it will come down from Heaven and the true Torah will be given: Christ.