Connections to host failed

I've only had a little more time at this. Those last instructions seem helpful and correct. However still no go. When I set up this M1 Mac all but my Mac accounts show up in my mailboxes.

As I said, these mailboxes still work another devices. Worth mentioning though is that I have no Outbox. Perhaps this next picture can help. I think I know correct passwords, obviously I don't. Can find them in keychain access or the ones I can find don't work. No matter how I try I cannot add my Mac Mail addresses and I have no outbox.

Thank you. I was not referring to iCloud Mail so unfortunately this will not resolve my problem as I seemed to have indicated above. I'm pretty sure that I am referring to the inability to connect/use an outgoing server. In years past setting up Account was more clear. Unless I am doing something wrong, I think I tried several things that just do not establish account properly. I cannot send, I don't have an Outbox. I am receiving mail for some accounts (Non-Apple). I cannot set up my Mac Mail accounts. I use them on other Macs. I do not want to use my Time Machine to restore these accounts. I just want to be able to connect/see my established Mac accounts on my new Mac. The error I receive is quite clear - Connections to host Automatically added for iOS & OS X Mail on the default ports failed.

Originally I saw more items addressed that were a little more pertinent than the (incorrect) answer I replied to above. Don't know where those point are now. Perhaps I will be able to find them again There were some thing that I could have tried. I don't see them listed now. Also, it was advised that I call Apple, which I was trying to avoid using this community. I will post correct answers when I get them.

I received this answer in my email - To confirm we're on the same page, are you referring to the Connection Doctor window accessible in the Mail app under Window > Mail Connection Doctor? If so, do you encounter any issues with other accounts?

I'm not referring to Mail Connection Doctor. I am referring I'm quite sure to inability to connect to Outgoing server.

Thanks.

Thanks. This is information and instruction that I have not seen previously. I'll give this all a try later today.