"Paul, an apostle of Jesus Christ by the will of God, to the saints which are at Ephesus, and to the faithful in Christ Jesus: Grace be to you, and peace, from God our Father, and from the Lord Jesus Christ..." -- Ephesians 1:1-2
I see. Biblical inerrancy says that since it says that Paul wrote it, then Paul wrote it. Is that the logic?
Various treatises are available that consider that Paul may have written Colossians, but did not write 2 Thessalonians, 1 and 2 Timothy, and Titus. One of the most convincing theories I have read put Timothy as the author, influenced heavily by John (who was also tied to Ephesus). At any rate, Paul is in prison, chained up and not likely to be allowed to write.
And you are correct. Paul also never wrote Hebrews.
We have Ephesians stating that Paul wrote the letter, verse one. So is God then a liar?