Both Psalms 110 and Isaiah 61 can be explained by what is said here about the Lord Jesus Christ:
"Let this mind be in you, which was also in Christ Jesus: Who, being in the form of God, thought it not robbery to be equal with God: But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men" (Phil.2:5-7).
The Lord Jesus was made in the likeness of man and in doing so he no longer possessed the glory which He had with the Father before the world was:
"And now, O Father, glorify thou me with thine own self with the glory which I had with thee before the world was" (Jn.17:15).
So let us look at these verses which you think proves that the Lord Jesus is not God:
"The LORD said unto my Lord, Sit thou at my right hand, until I make thine enemies thy footstool. The LORD shall send the rod of thy strength out of Zion: rule thou in the midst of thine enemies. Thy people shall be willing in the day of thy power, in the beauties of holiness from the womb of the morning: thou hast the dew of thy youth. The LORD hath sworn, and will not repent, Thou art a priest for ever after the order of Melchizedek. The Lord at thy right hand shall strike through kings in the day of his wrath" (Ps.110:1-5).
Here we can see that the Lord Jesus is doing the will of Jehovah at a time when the Lord Jesus "made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men."
So there is nothing in Psalm 110 which even hints that the Lord Jesus is not God.
Now let us look at this passage:
"The Spirit of the Lord GOD is upon me; because the LORD hath anointed me to preach good tidings unto the meek; he hath sent me to bind up the brokenhearted, to proclaim liberty to the captives, and the opening of the prison to them that are bound; To proclaim the acceptable year of the LORD, and the day of vengeance of our God; to comfort all that mourn" (Isa.61:1-2).
Again, the Lord Jesus is doing the will of God when made in the likeness of man. At that time He took on the form of a servant. And since He was made in the form of a man in all things (Heb.2:17) then He obviously had a God just as all men have a God.
That proves that the Lord Jesus is Jehovah because it is the Lord Jesus who comes to execute judgment:
"When the Son of man shall come in his glory, and all the holy angels with him, then shall he sit upon the throne of his glory: And before him shall be gathered all nations: and he shall separate them one from another, as a shepherd divideth his sheep from the goats: And he shall set the sheep on his right hand, but the goats on the left. Then shall the King say unto them on his right hand, Come, ye blessed of my Father, inherit the kingdom prepared for you from the foundation of the world...Then shall he say also unto them on the left hand, Depart from me, ye cursed, into everlasting fire, prepared for the devil and his angels" (Mt.25:31-34,41).