Note: The servers use SSL certificates issued to the servers themselves (not your domain name), so it is normal to receive an SSL verification error when using SSL or TLS.
If you use port 587 for your outgoing mail server, your secure POP3/SMTP settings are:
POP3 (SSL):
Server: mail.YOUR_DOMAIN_NAME.com
Authentication: Password
Username = full email address
Password = your email password
SSL: Port 995
SMTP (TLS):
Server: mail.YOUR_DOMAIN_NAME.com
Authentication: TLS
Username = full email address
Password = your email password
TLS: Port 587
If you still need help with your secure email settings, please email: support@eve.net