With the Classic app you can use a Routine (under Automations) to automatically unlock your door when a presence sensor arrives. The new app cannot do this.
I don’t understand how you’ve setup rules based in your SHM state (if I understand what you’re referring to correctly). There is no native way to execute actions based on SHM states. You will need an app like this one which can execute actions based on the SHM state: [RELEASE] SHM Routines, Notifications and Actions
Keep in mind that this only works with the Classic SHM. I would avoid using the new app for now given level of automaton and customization you’re looking at doing.
The final step would be to use your keypad to control SHM (Classic).