This app was mentioned in 2 comments, with an average of 2.50 upvotes
Android app: https://play.google.com/store/apps/details?id=jp.co.mcdonalds.android
I assume there's a similar one for iOS. It's pretty good, automatically updates with the new coupons, and is pretty simple and error free in my experience
They refreshed their app with a new design and such, try uninstalling the old one and installing the new version?
iTunes https://itunes.apple.com/jp/app/mcdonalds-japan/id413618155?mt=8
Google Play https://play.google.com/store/apps/details?id=jp.co.mcdonalds.android&hl=en