Would you say "in our image" means "in our image"?
I would.
Would you say "after our likeness" means "after our likeness"?
I would.
Would you say "dominion" means "dominion"? (Does that hurt God's sovereignty? I don't think so.)
I would. It would not. Nor do I. The King of Kings is our Father.
Would you say, according to this verse, God gave man dominion over all the earth? That's what I see.
I would. But He didn't give him dominion over Him did He?

If God has no dominion on Earth then I think He has no business sending floods and famines and the like. How have we got dominion by the way? PS 50:10 for every animal of the forest is mine, and the cattle on a thousand hills.
DT 10:14 To the LORD your God belong the heavens, even the highest heavens, the earth and everything in it.
PS 22:28 for dominion belongs to the LORD and he rules over the nations.
PS 145:13 Your kingdom is an everlasting kingdom, and your dominion endures through all generations.
Doesn't sound like God created robots or puppets to me.
I see nothing above of any relevance to the matter. I think this is the same problem as with 1 John. We know that God is Sovereign but we normally say this man did this or that man did that. We use these terms as the free willers do. It doesn't mean we abandon our belief that God is Sovereign but we talk normal like. The man jumped on the bus, not God working through the man caused him to jump on the bus that God caused to be there.
DT 28:15 However, if you do not obey the LORD your God and do not carefully follow all his commands and decrees I am giving you today, all these curses will come upon you and overtake you:
The curses God says He will bring to bear on Israel are awful. God tells the Israelites that they must follow the law to the letter. Any deviation will result in what we have witnessed. The Jew persecuted. Yet Paul says that no man will be justified by the law and the sinful mind is hostile to God. It does not submit to God's law, nor can it do so.
God told the Jews to do the impossible and punished them serverly for non-compliance. That's as far as our dominion goes. The impossible covenant. And we are guilty because He says we are.
Rom 8:6 The mind of sinful man is death,
but the mind controlled by the Spirit is life and peace; 7 the sinful mind is hostile to God. It does not submit to God's law, nor can it do so. 8 Those
controlled by the sinful nature cannot please God.
Gal 5:17 For the sinful nature desires what is contrary to the Spirit, and the Spirit what is contrary to the sinful nature. They are in conflict with each other,
so that you do not do what you want.
Can you see that man is controlled by one or the other but for us, we are just observers. We have a will that is controlled one way or another whether we like it or not and we don't. And God controls the fallen nature. JER 10:23
I know, O LORD, that a man's life is not his own; it is not for man to direct his steps. How much clearer can it be?
JER 11:1 This is the word that came to Jeremiah from the LORD: 2 "Listen to the terms of this covenant and tell them to the people of Judah and to those who live in Jerusalem. 3 Tell them that this is what the LORD, the God of Israel, says: `Cursed is the man who does not obey the terms of this covenant-- 4 the terms I commanded your forefathers when I brought them out of Egypt, out of the iron-smelting furnace.' I said, `Obey me and do everything I command you, and you will be my people, and I will be your God. 5 Then I will fulfill the oath I swore to your forefathers, to give them a land flowing with milk and honey'--the land you possess today."
I answered, "Amen, LORD."
"Listen to the terms of this covenant and tell them to the people of Judah and to those who live in Jerusalem. 3 Tell them that this is what the LORD, the God of Israel, says: `Cursed is the man who does not obey the terms of this covenant--
They must obey the terms of the covenant. No excuses but must. Do you believe the law can be obeyed in every particular, at all? If no then why does God insist on it being kept with threats of curses? If yes what?
john.