Using Windows 7 and XP.
I'm looking for a free programme for backing up purposes. A mirror copy I believe is the right term.

I know this has been discussed here, I've searched, but I get quite confused, and the web page of each programme doesn't always tell you the full story, so first hand experience from the community is valuable.

What I want to do:

1. Exactly replicate what is in one (simple peer) networked computer A's folder to folders on this machine, B. I believe this is called a mirror, so all deletions etc on A are also done on B. (I get confused about "incremental" and "differential" backups).
2. Do this every day, or on chosen days, on a schedule.
3. Each day of the week to be kept to a separate folder on machine B - so Monday's backup would be in one folder, Tuesday's in another etc. Then next Monday can update the existing Monday folder... So I always have a full week's copy of each day.(Yes I also do off-site backup, that's under control)
4. Be able to choose to not replicate certain folders or files, by both filter and by, say, unticking a box beside that file or folder.
5. Also backup from a portable USB HDD (and cope with changing drive letters of that HDD)
6. Don't want compressed backup, though the option would be nice, but definitely need option to NOT compress.
7. Copy open files.
8. Shutdown computer on completion.
9. There may be something else that I can't remember right now!

Found theses so far:
DFIncBackup: here
Comodo backup: here
Genie9: here
Cobian backup: here
easUS Todo Backup Free: here
FreeFileSync: here
Handy Backup: here

Any opinions which is best for me or a better one?