I visited the Palo Alto AT&T store this evening and exchanged my phone. The new phone's battery seemed flat from the get-go, but I brought it home to charge it. Plug in, no pulse. Wouldn't turn on, wouldn't indicate it was charging. The plugged-in LED on the phone came on, but that was it. Apparently, phone #2 is also defective.
Back to the store tomorrow morning, to pick up phone #3. I want a flip phone + camera phone, and of the three that they carry I like this one best. Except for the non-functioning part. We'll see if I can find a good unit yet.