Q: After 9.3.4 update I am unable to record a new VM greeting or select Default one.  Any thing I can try to fix this?

I have an iPhone 6S, 64 GB with Verizon, and just upgraded to iOS 9.3.4.  I am unable to change my VM greeting.  Nothing happens when I press Record or Play, and nothing happens if I choose Default.  I am stuck on Custom greeting, and really need to change it.  I have tried a phone reset so far.  Any ideas?  Thanks.