gsabrd wrote: Could you please explain or provide all possible steps how to fix this problem. I am not a pro in this area, so simple words and terms would be appreciated. Thanks.
Well first you need to provide version numbers of your Joomla/CB install and also email settings you have configured (SMTP, PHP Mail, ?) on your Joomla global parameters area.
Then you need to verify the issue using test email addresses you control.
Try and send a Joomla Mass mail and verify that it works.
Then try to send a CB Mass mail (from CB User Management) and see if that works.
If it does then there should be no issue in other CB areas.