iCloud Photo Library not fully syncing on iOS

iCloud Photo Library appears to be working great between iMac and an iPhone 5c, but has been stuck on "13 items to download" for over a week on iPhone 5s, plus no photos taken with that phone have been uploaded in some time. Any ideas?

Turn your iPhone off and the back on. If that doesn't help, disable iCloud Photo Library and then turn it back on. If that doesn't help, logout entirely out of iCloud and then re-enable it.

None of those activities working so I had to bring my iPad Air 2 to a local retail Apple Store just to get an advice of performing a full backup, erase then restore the iPad from that latest backup and if it's still not working then bring it back and they will replace a new iPad under warranty. I did follow and fortunately it worked so saved me some more hassles with this defective iCloud photo album thingy. Hope Apple will fix it in the next iOS release...