Just got off the phone with my dad and stepmom over in SC. They were supposed to get their new iPad (32GB, black, Wifi-only) on the 26th, then got an update last week saying the 21st (Wednesday) and they had a knock on their door this morning and it was the delivery guy, a full week early from the initial delivery date.
They, too, are noticing heat and what they think might be faster-than-before battery drain. I told them about your situation, torifile, and they said they'd keep an eye on things the next day or two and respond accordingly. They're going to Scotland for two weeks in mid-May, so I know they'll want to get things straightened out well before then (they're taking it with them, of course).