I think Col. 2:14 and Eph. 2:15 should be considered as parallel passages, since both speak of dogmasin (ordinances).

Colossians 2:14 blotting out the handwriting of ordinances that was against us, which was contrary to us. He took it out of the way, nailing it to His cross;

Ephesians 2:15 having abolished in His flesh the enmity, even the law of commandments contained in ordinances, that He might make in Himself one new man out of the two, so making peace,

The passage speaks of "the law of commandments contained in ordinances." So it refers to commandments, but not all commandments - just the commandments contained in ordinances. We should also bear in mind that Moses wrote many commandments - some of them related to the ceremonial law, and some which constituted an unfolding of the moral law.

Now some EGW comments about it:

"There are many who try to blend these two systems, using the texts that speak of the ceremonial law to prove that the moral law has been abolished; but this is a perversion of the Scriptures. The distinction between the two systems is broad and clear. The ceremonial system was made up of symbols pointing to Christ, to His sacrifice and His priesthood. This ritual law, with its sacrifices and ordinances, was to be performed by the Hebrews until type met antitype in the death of Christ, the Lamb of God that taketh away the sin of the world. Then all the sacrificial offerings were to cease. It is this law that Christ 'took . . . out of the way, nailing it to His cross.' Colossians 2:14." (PP 365)

"Through Christ the hidden glory of the holy of holies was to stand revealed. He had suffered death for every man, and by this offering the sons of men were to become the sons of God. With open face, beholding as in a glass the glory of the Lord, believers in Christ were to be changed into the same image, from glory to glory. The mercy seat, upon which the glory of God rested in the holiest of all, is opened to all who accept Christ as the propitiation for sin, and through its medium, they are brought into fellowship with God. The veil is rent, the partition walls broken down, the handwriting of ordinances canceled. By virtue of His blood the enmity is abolished. Through faith in Christ Jew and Gentile may partake of the living bread" (Letter 230, 1907). {5BC 1109.1}

Hebrews 1:1-3 God, after He spoke long ago to the fathers in the prophets in many portions and in many ways, in these last days has spoken to us in His Son, whom He appointed heir of all things, through whom also He made the world. And He is the radiance of His glory and the exact representation of His nature . . .

Scott,

What Paul says in v. 14 that Christ nailed to the cross is the part of the old covenant which was "a shadow of things to come," as he makes clear in v.17. So this refers to the ceremonial law, which prefigured Christ's work of salvation.

7Now if the ministry that brought death, which was engraved in letters on stone, came with glory, so that the Israelites could not look steadily at the face of Moses because of its glory, fading though it was, 8will not the ministry of the Spirit be even more glorious? 9If the ministry that condemns men is glorious, how much more glorious is the ministry that brings righteousness! 10For what was glorious has no glory now in comparison with the surpassing glory. 11And if what was fading away came with glory, how much greater is the glory of that which lasts!

It is the old covenant, but I see no relationship between 2 Cor. 3 and Col. 2/ Eph. 2.

The passage is speaking of the old covenant as contrasted with the new (see v.6 - "new covenant," and v. 14 - "old covenant"), although undoubtedly the most important part of the old covenant was the moral law. The ministry of death was the old covenant - the law without Christ.

But again, I see no relationship between 2 Cor. 3 and Col. 2/ Eph. 2.