In order to entirely disable the notifications from the app, please go to Settings on your device -> Notifications -> find the Tabs app and turn off notifications
You can manage what notifications you would like to receive in the app concerning Shots and Messages. Please go to Account&settings menu, and then to the Notifications section, there you will be able to set up your preferences.
We have various notification options including push notifications, emails, website notifications etc. You can find out how to manage them in this article.