We do have an objective answer.
The burden of the word of the Lord against Israel. Thus says the Lord, who stretches out the heavens, lays the foundation of the earth, and forms the spirit of man within him: (Zechariah 12:1)
Thus says God the Lord,
Who created the heavens and stretched them out,
Who spread forth the earth and that which comes from it,
Who gives breath to the people on it,
And spirit to those who walk on it: (Isaiah 42:5)
Then they fell on their faces, and said, “O God, the God of the spirits of all flesh, shall one man sin, and You be angry with all the congregation?” (Numbers 16:22)
Then of course:
Jesus said to him, “‘You shall love the Lord your God with all your heart, with all your soul, and with all your mind.’ 38 This is the first and great commandment. And the second is like it: ‘You shall love your neighbor as yourself.’ On these two commandments hang all the Law and the Prophets.” (Matthew 22:37-40)
The above should at least answer your one question "Is there such a thing as a soul?"