Got the new battery that I ordered, had the same issue. I also ordered a charger so that I could charge it outside the camcorder, just in case something in that "loop" was broken, but haven't received the charger yet. Was frustrated and dinking around with it yesterday, and discovered (I think) the problem. I started pushing the different buttons that you have access to when you open the LCD screen, and the "manual on/off" button powered it on. I had done that before, but it hadn't worked, so I'm not sure what was different this time. Also, after having done that, it now powers on when I open the LCD screen (as it's supposed to).
Glad I didn't send it in for repairs (on my dime)!