No new mail notification at apple mail dock icon when rules apply I've set a rule in apple mail. It's very simple. If a specific individual sends me mail it moves it directly to the destination folder. The problem is that it does not notify me that a mail arrived! If I open mail program I see that I have one new massage in the directory, but the apple mail icon at the dock have no notifications at all.

Is it possible to configure Mail.app so it shows unread count in specific other mailboxes, in addition to the inbox?
Mail does only look at one or all mailboxes for the count, it is set in Mail->Preferences->General, the field "Doc unread count"

You can make it look at a more complex setup by using Smart mailboxes.

In this case I would create a new Smart mailbox say Counter which would contain rules for any of Mailbox is Inbox and the destination folder.