Maybe it would help if you would expound on how you believe these fit?
John 10:34 is a quote from Psalm 82:6 . . . the context speaking of God being the one who judges among the "gods"; they were doing a lousy job - judging unjustly, accepting the wicked, etc. but they would all die like men . . .
1 Cor. 8:4 . . . context is touching things offered unto idols . . . meat does not commend us to God but let us not offend the weak brother . .
The term "gods" can mean judges and not as many take "god of this world" to mean Satan has replaced God in his sovereign control of the Earth.
.Satan is called the accuser for a reason.
He often judges people guilty and worthy of punishment.
By God's holy law, we are all sinners deserving death.
However by His mercy and grace, God sent Jesus to save us. He died upon the cross for remission of our sins. He nailed it to the cross so that Satan can no longer accuse us and condemn us worthy of death because we have been washed clean. Then we are given the Holy spirit to chasten and teach us to live godly lives and shine God's light in this dark world. Hopefully helping to lead people back to God and His love and breaking the chains of lies, sin and darkness that enslave people.
Therefore Satan is no more "god of this world" anymore than we are also "gods" or judges of this world as God's born again children.
******
1 Corinthians 2:15 ►
New International Version
The person with the Spirit makes judgments about all things, but such a person is not subject to merely human judgments,
New Living Translation
Those who are spiritual can evaluate all things, but they themselves cannot be evaluated by others.
English Standard Version
The spiritual person judges all things, but is himself to be judged by no one.
Berean Study Bible
The spiritual man judges all things, but he himself is not subject to anyone's judgment.
Berean Literal Bible
But he who is spiritual judges all things, but he himself is judged by no one.
New American Standard Bible
But he who is spiritual appraises all things, yet he himself is appraised by no one.
King James Bible
But he that is spiritual judgeth all things, yet he himself is judged of no man.