I only had little time on my hand to look through the "Biblical contraction graph" but with my limited biblical knowledge, I have yet unable to find any contradictions.
1)How many men did the chief of David's captains kill?
it's two different persons (Josheb Basshebeth, a Tahkemonite and Jashobeam, a Hacmonite)
2)Was Abraham justified by faith or by works?
In James 2:22 "You see that his faith and his actions were working together, and his faith was made complete by what he did" I think this verse explains it 'true faith always produces fruits'
3)How many sons did Abraham have?
when Abraham was tested on the Mt. Moriah, his many sons weren't born yet. there was only one other son named Ishmael, but regarding him, God said in Genesis 21:12 "But God said to him, "Do not be so distressed about the boy(Ishmael)and your maidservant(Hagar, the Egyptian). Listen to whatever Sarah tells you(making them leave), because it is through Isaac that your offspring will be reckoned.
In the eyes of God, there was only one true son (God's promised child) Isaac.
Genesis 17:19 "Then God said, “Yes, but your wife Sarah will bear you a son, and you will call him Isaac. I will establish my covenant with him as an everlasting covenant for his descendants after him."
4)Was Abiathar the father or the son of Ahimelech?
This genealogy thing gets kind of boring, but let me try.
in 1Sam 22:20-23, Ahimelech was the father of Abiathar
in 2Sam 8:17, 1 Chron 18:16, and 1 Chron 24:6, Abiathar (the son of Ahimelech) was the father of a child he named Ahimelech.
In other words, there is a guy named Jim, and Jim's son's name is John and John's son's name is Jim.
5)Who was Abijam's mother?
In 1Kings 15:8,11 Asa is said to have been the son of both Abijab his father and the son of David, the latter being more precisely his great, great, grandfather"
Maachah or Michaiah are the same person different spelling
Abisalom or Absalom(Son of king David) are the same person.
Maachah was a daughter of Uriel.
And granddaughter of Absalom.
It’s just one of many cultural things of Israel.
Israelites still call Abraham “father” not great great great…. Grandfather.