Jesus is Lord of the Sabbath; Jesus is fully God and can do whatever He wants with His creation. The Lord’s day and the 4th commandment are not at odds w/ each other-they are the same. Much like God’s character, the commands of God are perpetual and unchangeable.

Mal. 3:6 “For I, the LORD, ado not change; therefore you, O sons of Jacob, are not consumed.

When we are told to be salt and light, these are things that are secondarily added to primary-salt is put into a primary thing to flavor it; light shines on things, amplifying it’s being.

John 8:12   Then Jesus spoke to them again, saying, “I am the light of the world. He who follows Me shall not walk in darkness, but have the light of life.”

One one hand, believers are called to be salt and light; we are in the world, but not of it.

Matt. 13:37   He answered and said to them: “He who sows the good seed is the Son of Man. 38 The field is the world, the good seeds are the sons of the kingdom, but the tares are the sons of the wicked one.

John 15:18   “If the world hates you, you know that it hated Me before it hated you. 19 If you were of the world, the world would love its own. Yet because you are not of the world, but I chose you out of the world, therefore the world hates you.

The 4th commandment and sabbath keeping validates our walk with God; it is a sharp knife cutting through all the muck of the age. It rightly separates the people of God from the world; it distinguishes God’s call on His people.

Breaking of the 4th commandment and not resting from your typical things you do on every other day is lawlessness.

Matt. 7:23 And then I will declare to them, “I never knew you; depart from Me, you who practice lawlessness!’

Matt. 13:41 The Son of Man will send out His angels, and they will gather out of His kingdom all things that offend, and those who practice lawlessness,

The writer of Hebrews exhorts the people of God, not to be stiff-necked like those who wandered in the wilderness:

Heb. 4:1 Therefore, since a promise remains of entering His rest, let us fear lest any of you seem to have come short of it. 2 For indeed the gospel was preached to us as well as to them; but the word which they heard did not profit them, not being mixed with faith in those who heard it. 3 For we who have believed do enter that rest, as He has said:
“So I swore in My wrath,
‘They shall not enter My rest,’ ” although the works were finished from the foundation of the world.
4 For He has spoken in a certain place of the seventh day in this way: “And God rested on the seventh day from all His works”; 5 and again in this place: “They shall not enter My rest.”

Heb. 4:6   Since therefore it remains that some must enter it, and those to whom it was first preached did not enter because of disobedience, 7 again He designates a certain day, saying in David, “Today,” after such a long time, as it has been said:
“Today, if you will hear His voice,
Do not harden your hearts.”

Heb. 4:8   For if Joshua had given them rest, then He would not afterward have spoken of another day. 9 There remains therefore a rest for the people of God. 10 For he who has entered His rest has himself also ceased from his works as God did from His.

Heb. 4:11   Let us therefore be diligent to enter that rest, lest anyone fall according to the same example of disobedience. 12 For the word of God is living and powerful, and sharper than any two-edged sword, piercing even to the division of soul and spirit, and of joints and marrow, and is a discerner of the thoughts and intents of the heart. 13 And there is no creature hidden from His sight, but all things are naked and open to the eyes of Him to whom we must give account.

 

Strong writes:

“Not everything in the Mosaic law is abrogated in Christ. Worship and reverence, regard for life and purity and property, are binding still. Christ did not nail to his cross every commandment of the decalogue. Jesus does not defend himself from the charge of Sabbath-breaking by saying that the Sabbath is abrogated, but by asserting the true idea of the Sabbath as fulfilling a fundamental human need. Mark 2:27—“The Sabbath was made [by God] for man, and not man for the Sabbath.” The Puritan restrictions are not essential to the Sabbath, nor do they correspond even with the methods of later Old Testament observance. The Jewish Sabbath was more like the New England Thanks giving than like the New England Fast-day. Nehemiah 8:12, 18—“And all the people went their way to eat, and to drink, and to send portions, and to make great mirth.… And they kept the feast seven days; and on the eighth day was a solemn assembly, according unto the ordinance”—seems to include the Sabbath day as a day of gladness.
Origen, in Homily 23 on Numbers (Migne, II:358): “Leaving therefore the Jewish observances of the Sabbath, let us see what ought to be for a Christian the observance of the Sabbath. On the Sabbath day nothing of all the actions of the world ought to be done.” Christ walks through the cornfield, heals a paralytic, and dines with a Pharisee, all on the Sabbath day.

Strong, A. H. (1907). Systematic theology (p. 409). Philadelphia: American Baptist Publication Society.”

Henry writes:

II. A particular instance of presumption in the sin of sabbath-breaking. 1. The offence was the gathering of sticks on the sabbath day (v. 32), which, it is probable, were designed to make a fire of, whereas they were commanded to bake and seeth what they had occasion for the day before, Ex. 16:23. This seemed but a small offence, but it was a violation of the law of the sabbath, and so was a tacit contempt of the Creator, to whose honour the sabbath was dedicated, and an incursion upon the whole law, which the sabbath was intended as a hedge about. And it appears by the context to have been done presumptuously, and in affront both of the law and to the Law-maker. 2. The offender was secured, v. 33, 34. Those that found him gathering sticks, in their zeal for the honour of the sabbath, brought him to Moses and Aaron, and all the congregation, which intimates that being the sabbath day the congregation was at that time gathered to Moses and Aaron, to receive instruction from them, and to join with them in religious worship. It seems, even common Israelites, though there was much amiss among them, yet would not contentedly see the sabbath profaned, which was a good sign that they had not quite forsaken God, nor were utterly forsaken of him. 3. God was consulted, because it was not declared what should be done to him. The law had already made the profanation of the sabbath a capital crime (Ex. 31:14, ch. 35:2); but they were in doubt, either concerning the offence (whether this that he had done should be deemed a profanation or no) or concerning the punishment, which death he should die. God was the Judge, and before him they brought this cause. 4. Sentence was passed; the prisoner was adjudged a sabbath-breaker, according to the intent of that law, and as such he must be put to death; and to show how great the crime was, and how displeasing to God, and that others might hear and fear and not do in like manner presumptuously, that death is appointed him which was looked upon as most terrible: He must be stoned with stones, v. 35. Note, God is jealous for the honour of his sabbaths, and will not hold those guiltless, whatever men do, that profane them. 5. Execution was done pursuant to the sentence, v. 36. He was stoned to death by the congregation. As many as could were employed in the execution, that those, at least, might be afraid of breaking the sabbath, who had thrown a stone at this sabbath-breaker. This intimates that the open profanation of the sabbath is a sin which ought to be punished and restrained by the civil magistrate, who, as far as overt acts go, is keeper of both tables. See Neh. 13:17. One would think there could be no great harm in gathering a few sticks, on what day soever it was, but God intended the exemplary punishment of him that did so for a standing warning to us all, to make conscience of keeping holy the sabbath.

Henry, M. (1994). Matthew Henry’s commentary on the whole Bible: complete and unabridged in one volume (p. 208). Peabody: Hendrickson.