Contradiction with 1 Samuel 16:13
This verse speaks about the anointing of David by Samuel, while 1 Kings 1:38 refers to the anointing of Solomon, which could be seen as a contradiction if considering who is meant to be king.
1 Samuel 16:13: Then Samuel took the horn of oil, and anointed him in the midst of his brethren: and the Spirit of the LORD came upon David from that day forward. So Samuel rose up, and went to Ramah.
Contradiction with 2 Samuel 15:10
This verse mentions Absalom declaring himself king, which contradicts the orderly anointing and procession of Solomon in 1 Kings 1:38.
2 Samuel 15:10: But Absalom sent spies throughout all the tribes of Israel, saying, As soon as ye hear the sound of the trumpet, then ye shall say, Absalom reigneth in Hebron.
Contradiction with Psalm 89:35-37
These verses suggest the eternal covenant with David's lineage, which could be seen as conflicting with any other claims to kingship, outside the line prominently represented in 1 Kings 1:38 focusing on Solomon.
Psalm 89:35-37: Once have I sworn by my holiness that I will not lie unto David. [that...: Heb. if I lie]
Contradiction with 1 Chronicles 28:5
Here, it's stated that God chose Solomon to sit on the throne, potentially contradicting any implication in 1 Kings 1:38 that the decision was merely a human arrangement.
1 Chronicles 28:5: And of all my sons, (for the LORD hath given me many sons,) he hath chosen Solomon my son to sit upon the throne of the kingdom of the LORD over Israel.