Question : If I close Out Look , IMAP SERVER closed out nad it goes off line

IMAP CLOSES if too long IDEAL

Answer : If I close Out Look , IMAP SERVER closed out nad it goes off line

In fact, I would suggest trying Thunderbird first, before trying the Local Folders option.  If Thunderbird also gives up, then you have lost nothing - your messages are still in the remote message store (make sure of course that you choose IMAP for mailbox type).