My second Amigo has the power issue. When I turn it on, a light on the back (or maybe inside the device?) flashes, but it doesn't power up. The only way to get it to turn on is to plug it in via usb, but once it's on it doesn't need to be plugged in. It's not a problem for me since the device works perfectly otherwise.
Thank you for your feedback! I hope we find a solution for this and we all have a better UX with Amigo!