The Safari issues seem to affect not only the older iPad 2 but also my family's newer devices as well (iPhone 6, 5S, 5C, iPad mini), to varying degrees on each of them. This is definitely a disaster of serious magnitude no matter how much cheerleading and repetition of only partially effective advice various users list here (and it's useless trying to reason with them, so don't even try).
Personally, I have stopped wasting countless hours trying and re-trying the various suggested reset/restore/chant/burn incense actions, and now I'm waiting for iOS 8.1.1 to see if Apple will come up with the real fixes that it continues to not even acknowledge as necessary. If iOS 8.1.1 doesn't provide the necessary fixes, I'll look to alternative providers.
One thing I have discovered through experimentation when stuck in absurd situations (keyboard lags,,,watching letters appear seconds later in slo-mo, page freezes, uncontrolled page refreshes with the message that it encountered an error and the result that an entire paragraph entry field gets blow off, etc, etc.) is to close all other tabs before you begin typing into a paragraph entry box. So far, by doing this, I'm able to complete the entry without significant typing lag and no freezing or auto refresh. Let me know if this suggestion helps anyone else.