I am not seeing anything that hasn't been explained. Maybe we can get a second opinion from other members?
I created a thread on another forum. One member brought up a good point that most scholars don't believe that Paul wrote 1 Timothy. I looked it up in my own sources and found that to be the case, as well. Finding a 1st century copy of 1 Timothy would help the case that Paul was the author.

Either way, the explanation that the 1 Timothy is not from Paul would help explain why some of his instructions for women in the letter conflicts with his other writings.