Thanks for sending the link. I'm not sure why it never came up in my searches but your lead was most helpful. After 2 tries updating I did a restore. As I'd backed up my iPad 2 days ago I didn't lose much except the many hours it took to solve the dilemma. As a long time Apple fan I was most disappointed that they hadn't detected the problem before issuing 9.3 and aggravating a lot of iPad owners.
Now if I can only find out why my brand new iPhone 6s won't stay connected to wifi for more than minute or so, i'd be somewhat happier with Apple. But I have seen there are many others with this problem, too. That's on 9.3 also(13E234). iPad is 13 E236--maybe I should restore with that?