Did the Father make Jesus a judge or arbitrator over people?

Jn 5:

26 For as the Father has life in himself, so he has granted the Son also to have life in himself. 27 And he has given him authority to execute judgment, because he is the Son of Man. 28 Do not marvel at this, for an hour is coming when all who are in the tombs will hear his voice 29 and come out, those who have done good to the resurrection of life, and those who have done evil to the resurrection of** judgment**.

Click to expand...

The Father made Jesus the final judge on Judgment Day.

Elsewhere in Lu 12:

13 Someone in the crowd said to him, “Teacher, tell my brother to divide the inheritance with me.” 14 But he said to him, “Man [M1], who made me a judge or arbitrator over you?”

Click to expand...

This was a civil case between two brothers. Jesus did not want to arbitrate between them. He did not deny that he was the judge of eternal life. He issued a warning to everyone:

15 And he said to them, “Take care, and be on your guard against all covetousness, for one’s life does not consist in the abundance of his possessions.”

Click to expand...

Don't focus on earthly possessions which was what M1 was doing. Focus on heavenly possessions. He told the parable of the rich fool.

20 But God said to him, ‘Fool! This night your soul is required of you, and the things you have prepared, whose will they be?’ 21 So is the one who lays up treasure for himself and is not rich toward God.”

Click to expand...

Did the Father make Jesus a judge or arbitrator over people?

Not in the case of M1, Jesus did not arbitrate for M1 but gave him a warning against his obsession with earthly possessions.