I'm interested in what your point is; rather, I'm trying to understand it. What exactly is your point?
I read the verses that you indicated, and I also took the liberty to read the chapter before and after the account of 2 Kings 2 and Elijah and Elisha's stories... Near the very end of 2 Kings 1 it says that "this was the second year of Jehoram, the son of Jehoshaphat, who was reigning JOINTLY with his father in Judah." It also mentions that other things that Ahaziah did are recorded in The Chronicles of the Kings of Israel... is this what you are referring to or is there some confustion as to the harmony of what is recorded in the Bible?