Mobile SDK: Problem with Push Notification, JWT Authentication & managing the journey of visitors kill and revisit to the app.

We run our support on App, Mobile SDK integrated. We noticed problem with both of our iOS and Android app:
1. App's push notification doesn't work anymore.
2. JWT Authentication doesn't seem consistent in adding "green-tick" to logged in users.
3. When user kill the app, their Messaging history is likely to be flushed away. What's the logic for that?