I was sort of hoping his WiFi password issues on something else recently might have been at the root of it (no connectivity to verify)
So it could be as simple as reverting the WiFi password to the way it was (TKIP or AES)
Still haven't fixed my iPad. I left it for a week to see if it matured and stopped being childish, but no.
So: I downloaded and installed iCloud. I changed my password.
I followed the instructions to get to the restore option in iTunes but all I have as a flickering white box that says iTunes in one corder and a flickering 'Password' in the middle. It sees the iPad and knows it's Device name and what I have on it (little).
I hate Apple.
I think I've fixed it. Not sure how, but it's taken well over two hours of messing and restarting and convoluted pressings of buttons, updating, restoring, entering new passwords - same as the old ones - fingerprint again. I could have built a whole PC from scratch in that time, really.