Puritan Board Freshman
The books I mentioned are books I am reading about covenant theology. In regards to studying new covenant theology I am reading the book New Covenant Theology by Tom Wells and Fred Zaspel
Kingdom Through Covenants is definitely not covenant theology in any historical/confessional sense. It is the initial defense of Progressive Covenantalism which, as mentioned previously, is very near the same thing as NCT. They argue for a via media between CT and Dispensationalism but are, in my opinion, just developing a new type of dispensationalism.
I am not as sure about Thomas Schreiner but if his association with Gentry and Wellum say anything than he is definitely not a covenant theologian proper.