Christ died one time for the sins of all people, the just for the unjust, so that He might bring us to God (1 Peter 3:18).
The just, Jesus, died for the unjust, mankind. Because of this justice is no longer defined by mankind getting rewarded or punished according to our deeds. Now justice is that all people be saved by trusting Jesus so that Jesus gets who is due Him. Before the cross justice was mankind getting punishment for sin. After the cross justice is the Savior getting who He paid for.
So to seek justice now is not to desire that evil be punished, although destructive people should still be prevented from harming others. Seeking justice on Christ's behalf is to desire that all men come to know God.
No one deserves punishment because everyone's sin has been taken away and freedom in Christ is a gift waiting to be opened. Come to know Him to share in His riches. God has made relationship with Himself fully available. Come to Him trusting His goodness to embark in that relationship. You can't benefit from a relationship if you refuse to engage with the other person. God is always better than you think.
When you trust Jesus God gives you everything you need for life and godliness (2 Peter 1:3). God has given you His Son and because of that He will not hold back from freely giving you all good things in His good timing (Romans 8:32). In fact once you trust Him you receive every spiritual blessing that exists (Ephesians 1:3). We enjoy His gifts and blessings by simply knowing & trusting that they are given.