"This account has already been added" or similar: the old account is still on that device. Remove it first (see the first part of this page).
The old account keeps coming back on Windows: Windows itself still holds it. Open Settings, Accounts, Access work or school, click the old [email protected], then Disconnect, and restart.
"Wrong password" in Mail or Outlook while it works at mail.zoho.com: you have two-step sign-in on, so use an app password.
You can receive but not send: check the outgoing server is smtppro.zoho.com, port 465 with SSL/TLS, and that it signs in with [email protected] and your password.
No new mail on the phone: pull down on the list of emails to refresh. In iPhone Mail, check Settings, Apps, Mail, Mail Accounts, Fetch New Data.
Still stuck? Email [email protected] and say which phone or computer and which app you use.