You listed two things from the log:
two disconnection from pop3 and two disconnection from imap. The imap at least seem to have a faulty username.
The pop3 logins seem to have a problem with TLS.
Normally thunderbird asks if the cert is not ok (self signed etc).
Try to connect without TLS/SSL etc - just plain text and then try the other options (STARTTLS or SSL - on port 993).
I tried to connect your server on port 993 and 995 (IMAPS, POP3S) and this worked (unsing openssl)...
/J