The only book known to me that specifically deals with "difficulties" is one by J W Haley entitled "Alleged discrepancies of the Bible". I have found it a helpful book, although (as with any book) one would demur with some of his offered solutions.

Just my , for what its worth.

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Satch, Particular Baptist, England
"If ye then be risen with Christ, seek those things which are above, where Christ sitteth on the right hand of God." Colossians 3.1
http://www.book-academy.co.uk For FREE downloadable pdf commentaries recommended by C.H. Spurgeon, Spurgeon's works, and Great Puritan works.
ECCLESIA REFORMATA ET SEMPER REFORMANDA