iTunes 11.4: Sync button grayed out and shows only "other" as device content
iTunes will suddenly not allow us to sync any of our devices (running iOS 7.1.2). When we plug them in, it shows them by the correct name, but the sync button is grayed out and it lists only a whole lot of "other" as content. We have an iPhone, iPod Touch, and iPad mini 2. They all work fine (apps, music, etc.). We tried resetting the iPad mini, but it did not fix the problem. We then tried restoring it to factory settings through iTunes and then re-installing the latest iOS through iTunes. All of that seemed to work, but the sync button is still grayed out and the apps now have to be downloaded directly onto the device individually to get them back. We tried checking the box for "sync over wi-fi", but iTunes would not apply that change to the iPad. Since iTunes is also not allowing us to sync the iPhone and iPod, we assume trying any of these things will equally unsuccessful with them. We are at a loss as to what to do.
Mac OS X (10.6.8)