Contradiction with 1 Chronicles 6:8
Nehemiah 12:13 lists Jonathan and Adnah, whereas 1 Chronicles 6:8 does not mention their lineage specifically connected to this context.
1 Chronicles 6:8: And Ahitub begat Zadok, and Zadok begat Ahimaaz,
Contradiction with Nehemiah 12:47
The verse mentions the lineage of Levites handling tithes, while Nehemiah 12:13 strictly lists priests without mention of their roles in such duties.
Nehemiah 12:47: And all Israel in the days of Zerubbabel, and in the days of Nehemiah, gave the portions of the singers and the porters, every day his portion: and they sanctified [holy things] unto the Levites; and the Levites sanctified [them] unto the children of Aaron. [sanctified: that is, set apart]