1) He wrote woman are NOT qualified to teach (1 Corinthians 14:34). In my experience, I have been taught by both teachers—male and female. Some of the female teachers were too wonderfully effective. This is equally true in all spheres—mundane and religious. Not to mention some of the efficient woman rulers. Germans proved Apostle Paul wrong in a spectacular way—they chose Angela Merkel fourth term as chancellor of Germany. In India even the Head of the Defense Department is a woman.
2) Apostle Paul felt he had no control over his behavior (Romans 7:24) and he thought this aspect is true for all mankind. (Romans 5:12-21) Yet look at the world of those working in fields such as Customer Service, Air-hostess … they choose to show perfect control on their temperament even at the face of unjust/extreme provocation, yet they choose to be the opposite when they are at home (I have first experience from my twin-sister who is working as an air-hostess)