The first section of chapter 42 is foretelling of the coming Saviour. However, I think a few of the points can be applied to our lives and how we interact with the world.
"He will not shout or cry out, or raise his voice in the streets." vs 2
Angry rhetoric is being spewed everywhere. Politicians, media, and general public have traded discussion and debate for ranting and raving, resulting in society becoming more polarized in spite of all the progress that has been made. Adding our voice to an angry mob does not help.
"In faithfulness he will bring forth justice" vs 3
Justice is not for us to dole out. But we can have faith that Justice will be brought forth by a Righteous Judge. In the meantime we should not falter or be discouraged, but remain faithful to the Teachings of salvation, that bring hope to the nations.
We are not placed on earth to mete out justice on God's behalf. He doesn't need us. But people should be able to see the hope for salvation that is in us. And when they ask us about it, we will be "prepared to make a defense to anyone who asks you for a reason for the hope that is in you; yet do it with gentleness and respect." 1 Peter 3:15 ESV