Welcome to the forums! Let me see if I can touch on a few of these.
#3 and #4. There is an existing wish list item that talks about your #3 and #4 questions.
#5. If you go into the individual sensor that is on your garage door, you can set the app notifications to notify you if it is open for a certain amount of time or closed for certain amount of time. The Wyze app does not email or text, only in app notifications. These settings are independent of the HMS system. Ex:
#7. The HMS system needs internet signal to work. The Sense hub itself does have a battery backup, but it still needs an active internet connection at its location to communicate out.