My mistake. I was not clear on what info I wanted. Let's try a different approach.

Do I understand correctly - At this point the only remaining problem is that Sent items are showing up in the wrong place? If so, please check the following:

What are your settings for the "Save Messages" options?
Change where sent email messages are saved - Microsoft Support

What are your settings for the "Send Messages" options?
Change the account used to send email messages - Microsoft Support