I have owned an iPad since the first one came out, and have been an Apple user as well as an Apple instructor for years prior to my retirement as a CIO. Prior to the internet in the 1980's I owned and operated the largest multi-line MAC BBS in the US. That should give you an idea of how old I really am.
Getting back to my iPad problem, my reply from Apple was, "we will send you a return box within two days, we will then repair it and send it back". This, after my taking it out of the box and encountering the first problem assigning a network password. First, I would briefly press the number 2, and it would skip about 30 times before stopping. After backspacing to one number 2, I then attempted to press the number 1 key and it was completely non responsive, as well as the Q key, the A key and right down the left hand corner. I then rebooted the iPad only to have it work correctly for about 2-3 minutes. Then the left hand corner keys would do the same thing. If I turn the iPad off and back on again, it will work correctly for about another 2-3 minutes, power off and on again, same thing. I hav also completely reset the iPad (erasing included) only for the same thing to happen again. During a google search, I did find one instance of this problem on an iPad 2, back when it was first released. It seems to be a rare occurrence that has happened before. I have also noticed that some of the keys will repeat themselves the minute you briefly touch the key.
Since this was new product right out of the box, I think Apple should have charged my credit card, and sent me a replacement, then credited my card after they received the broken one. The demand for this new iPad will probably dictate that they will try and repair the broken ones in lieu of replacement. Thank you for taking the time to respond to my inquiry, and I hope this is a rare and isolated problem that others do not incur. I envy all of you who received one that works properly. On a happier note, I do still have my trusty iPad 1 to fall back on.