I cannot rate/review apps either. Like some people here I don't even see the stars necessary to rate/review.
It started happening after I had a pretty bad crash on my system caused by a root app I had installed after which my phone wouldn't boot. I discovered that I could boot into Safe Mode, however, and that from there I could hotboot into normal mode at which stage I had a few minutes of operation before the system would freeze. After many repeated boots following this tedious process, I soon discovered the reason for the lock-up was due to loss of root which I restored. Google Play Services had also become corrupt and most Google apps wouldn't work either (Inbox, for example). I then discovered that clearing not only the cache and the storage spaces for Google Play Services and fixing the permissions for all apps a few times (rebooting in-between) restored normal operation, with one exception, I could no longer rate/review apps using the Google Play Store app. This issue has keept me stumped. Maybe clearing Google Play Store's cache and/or storage will help, I don't know, I haven't tried it yet. I want to research and understand what impact this may have before I attempt it.
UPDATE
Clearing Google Play Store cache/data is safe. I can rate apps now, however, I may never have had an issue in the first place, I realise, as, originally, I had been trying to rate a side-loaded app, not one installed from the store!!! Doh!!!