Good questions, @WATCHDOG-LANE! Your Ring Alarm devices, such as the Contact Sensor, Keypad, and Motion Detector, will connect to the Ring Alarm Base Station via zwave, and then your Base Station connects to your network via wifi or ethernet. Check out our help center article for more details on how this works. You’ll notice this article also mentions cellular back up, which will allow your Alarm devices to remain connected in the event of a power/ network outage. A Ring Protect Plus subscription is required to have cellular backup.
As for battery life on your Alarm Contact Sensor, this uses two CR2032 batteries which may last up to 3 years depending on usage. Cold temperatures may drain battery life faster. I hope this helps!