587 is running on TLS? If yes and it will work ( I'll check it in minutes ) how come it isn't on 465 which is SSL?
EDIT:Now I've set the thunderbird profile up, and now... no error messages, only nothing happens on the clients. The cert was asked to download or not ( obviously I downloaded it ), but then when I try to send a test message from 1 user to another, there is no error message, but the mail is lost.
Settings are now as following:
Incoming: IMAP, host.domain.hu, port:993, SSL/TLS, Normal password
Outgoing: SMTP, host.domain.hu, port:465, STARTTLS, Normal password
Thunderbird somehow and somewhy in automatic recognision thinks that the IMAP has Kerberos authentication. Is that good or bad now?