In order to check the status of your Rally participation, navigate to the three-person icon on the bottom menu bar. Then select "Runway Rally" and under the puzzle pieces will be a "Rally Participation" toggle to which you can set to your preference.
Players that are toggled 'On' for the Rally will receive both an inbox message and a push notification outside the game.
Note: To receive the push notifications, you will need to turn this feature on through your Profile settings in-game.
Go to your Profile page and tap on the 'Gear' icon. Check the 'Notifications' settings and make sure that it is toggled "On".