Right. POP3 -- from 1996 -- allows access only to the Inbox, no other folders. It only works in one direction, too ("grab email *from* the server").
IMAP the newer one, and is what you want for multi-device sync (mobile / desktop / web mail, etc.)
BCC to self is under:
Long press the account in Aqua
Options and folders
Composing and sending
The BCC doesn't have to be the same account as you're sending from. Can be some "johns_archive@foo.com".