Rich,
As far as the covenant theology , He already addresses this in part in Chapter 2:9-16, Jesus as the captain of their salvation, takes upon himself the "seed of Abraham". The seed singular is Jesus, and us in Him by Spirit baptism. These are the true "covenant children" promised to the Son
JN 6 Isa 49 among other places.
To unfold this more fully, he needs to expand into the priestly work. I believe this letter was addressed in particular to believing jews before 70 ad, who were to press on,and not draw back to perdition Hebrerws 6, 10.
That is why the newness of the new covenant is explained to those who were Ot. believers, with a caution that this is the fulfillment of all the Ot had looked forward too. Joel 2 Jer 31 ezk 36-39 Isa 42-66
