From EP:
P.S. Paul never said women were equal to men or that slavery was bad.
Galatians 3:28--There is neither Jew nor Greek, there is neither slave nor free, there is no male and female, for you are all one in Christ Jesus.
In Paul's early, genuine writings, women were the heads of 'households', the early equivalent of churches. Paul addresses women, Paul acknowledged women, Paul greeted women in writing; that is more than the other apostles, and is not consistent with the overall view of women in his day.
We don't really know how Paul treated women, do we? All we have is the ability to compare what he said with what is known of how women were treated at the time in their culture, and the two ways are different. Even later writings attributed to Paul are back to the same old view of women: they are to be silent and if they have a question, they ask their husbands later. The ancient equivalent of shut up and sit down, or the current radical Muslim view, covered, silent and kept in the home.
And slavery: the discussion of slavery may be a bit misleading on your part. The slavery in the ancient near east was not chattel slavery, as existed in America. Slaves were not property, and became slaves for various reasons. Repugnant and wrong; but not the same as chattel slavery.
Later writings attributed to Paul suggest a writer who IS just fine with slaves; those writings are not in agreement with early Pauline writings.