Notifications not triggering

Notifications not triggering

We are attempting to enable Notification Rules to keep our users informed.  However, last night we tested four and only one actually worked. We turned on Acknowledge sender by e-mail when a new request if received, Acknowledge requester by e-mail when a request is updated, Acknowledge requester by e-mail when the request is closed, and Notify requester when a request is assigned to a technician, and only the first of those generated an email.  Firstly, is there a difference between the terms Acknowledge and Notify that is important?  Also, any ideas why these notifications are not triggering?

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