[Dovecot] Dovecot -> Gmail (via POP Mail Fetcher)

[Neil]

I'm trying to move my entire email store from my Dovecot installation (which
I normally access via IMAP) into Gmail using Gmail's Mail Fetcher (which
functions over POP); and I'm running into two problems:
1. Gmail only imported 78 out of 1000+ mails in my inbox, which I'm taking
to mean that Dovecot is reporting only those 78 as new.  How can I get
Dovecot to send all mail over as new?

2. I can't be sure of this yet (since, due to #1, Gmail doesn't seem to be
downloading everything), but I'm pretty sure Dovecot is only reporting my
Inbox emails over POP; is there a way I can get all my mail, from all my
folders, to stream in over POP?

Thanks,
Neil

PS. I'm not leaving Dovecot entirely, I just need to have my mail in another
place in case something happens to my server...