Allow me to list my settings and the changes I have made to my settings since applying the fix.
These are the apps that have access to my location:
Camera, Chrome, Find Friends, Maps, Passbook, Reminders, Siri, TWC (the weather channel), Waze, Weather, and Find My iPhone. That is actually all the apps in my location services list currently. The underlined apps are native.
I have disabled these system services from accessing my location:
Diagnostic and Usage, Location-Based iAds, and Popular Near Me.
I allow these system services to access my location:
Cell Network Search, Compass Calibration, Setting Time Zone, Traffic, Wi-Fi Networking, and Frequent Locations (although I chose not to Improve Maps in Frequent Locations).
Reminders is the only app that has Background App Refresh on.
My Reminders settings:
Sync Reminders 1 Month Back.
Default List is Reminder.
My Notification Center settings for Reminders and Find My Friends:
Alert Style - Alerts
Badge App Icon - on
Reminder Alerts - Signal
Alerts Show in Notification Center
Include 5 Lines
Show on Lock Screen - on
I only use Siri to make reminders.
Before doing the DFU restore, I backed up my iPhone to iCloud. I don't normally use iCloud because I only have 5GB, but this time I did so I could restore from iCloud after the DFU restore. I did not setup my iPhone as new.
Other fix suggestions that I have implemented on my iPhone are:
Disabling Reminders syncing with my exchange e-mail account. Only my iCloud e-mail account syncs Reminders now. I have two other gmail accounts that do not have the option for Reminders syncing. I did this soon after iOS 7 came out. It did not fix the issue, but may be part of the final solution.
As of now, that is all I can think of. If you have the time, please provide your settings and behaviors. Maybe we will be able to find a link that will help others. If there is a setting I did not provide that you think may be important, please indicate.