It seems that you have some duplicate SMTP Servers in the database. Let's verify this - can you please send me the result of the following SQL queries?
SELECT KeyID, KeyName, KeyValue, SiteID FROM CMS_SettingsKey
WHERE KeyName = 'CMSSMTPServer'
SELECT ServerID, ServerName, ServerIsGlobal, ServerGUID FROM CMS_SMTPServer
Also, do you have any custom code working with the SMTP servers?
I can also imagine that the SiteID of the current site in the database is 0, which is an ID we use to add the Global SMTP server. Can you please check
the following query:
SELECT SiteID, SiteName FROM CMS_Site
Is it returning any site where SiteID is 0?
Also, what are the scheduler settings in Settings -> System and then in the Scheduler section -> Application scheduler interval? Is it greater than 0?