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On the result screen, tap Edit first and change it before saving. On a date you have already saved, open it and tap Edit. Lapsely shows the exact line it read the date from, on both screens, so you can see what it went on.
Try again with the page filling more of the frame, in better light. If the page genuinely has no date printed on it, add one yourself — it takes a few seconds and everything is filled in sensibly before you start.
Check that notifications are switched on for Lapsely in the iPhone's own Settings, and that Reminders is switched on inside Lapsely's Settings. Settings also shows how many reminders are currently booked.
Free includes 5 scans a month and 15 saved dates. The 5 scans come back at the start of each month. The 15 saved dates are a standing limit — delete one to free a slot. Adding a date by hand does not use a scan, so you can keep adding once the scans have run out — but a date added by hand still counts towards the 15. Pro removes both limits.
Subscriptions are cancelled in your Apple Account settings, not in the app. While a subscription is running, Settings has a Manage or cancel button that takes you straight there.
Settings has Export my data. It gives you a spreadsheet file with every saved date in it, which you can open anywhere.