How do I use/claim rank-related bonus services and rewards?

Tap "Use Rank-related Bonus Services and Rewards" on the home screen.
To change the store(s) at which you wish to use services/rewards, tap the "Change Store" button at the top-right of the screen and select the desired store(s).
From the displayed list of services and rewards, tap the one you wish to use and show your screen to a staff member.