Why do you say it was a false charge. Jesus was breaking the Sabbath and was making Himself equal with God by calling God His Father.
You heard that I said to you, ‘I am going away and I am coming back to you.’ If you loved me, you would rejoice that I am going to the Father, for the Father is greater than I am. (John 14:28)
That does not mean they do not have the same nature/essence. The Son was then in a position of less authority and so the Father was greater. The Son is always submissive to His Father anyway.
Jesus said to him: “Why do you call Me good?
Nobody is good except one, God.” (Mark 10:18
You pick out a verse where Jesus is showing that He is God and you twist it around to mean that He is not God. Don't you realise that Jesus IS good? You will have to stop listening to your teachers who are teaching you false doctrine and reasonig.
Then he said to them: “The Son of man is Lord of the Sabbath.” (Luke 6:5)
The Sabbath was a day of REST and Restoration, The wicked Jewish Priests along with its sects rejected Jesus as the Christ and the Son of Man. Jesus was performing a day of relief for the man which was pointing to something of Greater Significance. The 1,000 Reign of Christ is a day of a Relief, Restoration, and Rest for mankind. (2 Peter 3:8)
I'm not sure what the 1000 years being like a day and a day being like a 1000 years to God has to do with it.
The thing about the Sabbath is that it was lawful to do good on the Sabbath and to work on the Sabbath out of love for God and neighbour. The Priests worked on the Sabbath, Jesus showed that even a Jew would pull his animal out of a ditch on the Sabbath and so should do the same for a man. Jesus broke the Sabbath in order to obey the Law and love God and neighbour.
Likewise the charge of claiming equality with God was correct. It is just that you do not want to admit that Jesus is the real Son of God with the same nature. You want to make Him a creation of God like the rest of creation.
Who cares, first, second or 50 millionth one created, that does not make anyone any better.
Jesus was appointed
to be firstborn (Psalm 89:27). Nobody gets appointed to be the first one born. You are the first one born or you are not,,,,,,,,,,no appointment there. The Governing Body has denied the true meaning of "firstborn" to make it look like Jesus was created first and then they add to the Bible the word "other" to make it look like Jesus was one of the things created. Look at Colossians 1:15-17 in the New World Translation and you will see "other" added when it is not in the Greek. The NWT used to put this word in brackets but now has grown bold enough to remove the brackets as if it is in the original text.
John 1:3 All things came into existence through him,
and apart from him not even one thing came into existence.
The GB has not yet gotten around to adding "other" into this passage and we can see from it that Jesus has not come into existence. iows He is not a part of the creation except for the fact that He stepped into the creation when He became a man.