Your #309: Ergo, Good Works are Old Covenant Works
Meaning things we should not do anymore?
The Savior used the phrase "the law and the prophets". You appear to be turning that into "Old Covenant". Your logic seems to be that wherever we see the phrase "the law and the prophets", it means only that which was fulfilled by the atonement of Christ.
"The law and the prophets" is the Scriptures as they had them at that time. More Scripture was written, by prophets, later (and in other parts of the world). The prophets spoke the Word of God both before and after the rites, observances, and ceremonies of the Law of Moses were given as a schoolmaster to a rebellious Israel to point them to the coming atonement. Now we have the Sacrament of the Lord's Supper in remembrance of Him and His atonement.
Returning to the Savior's teaching about the two great commandments:
Are we not to love God anymore, because that would be an "Old Covenant work"?
Are we not to love our neighbor as ourselves anymore, because that would be an "Old Covenant work"?
Quite the contrary. These are the things Jesus taught. See the parable of the Good Samaritan.