OK. Maybe there is something else going on here, but setting the
IMAP Path Prefix wasn't supposed to fix the problem by itself. You keep ignoring some questions and missing some steps in each of my posts. The next step after properly configuring the account is to select in Mail (from the
(@) account group) the folder that should be used to store sent messages on the server, and do
Mailbox > Use This Mailbox For > Sent on it, as the folder you seem to want to use for that purpose is not the one that Mail would try to use by default.
As to possible mailbox limits, you may want to take a look a the following article:
Overstuffed mailbox is unexpectedly empty