iPod woes

My iPod seems to occasionally get into a state where it just won’t turn on.  I have to use the reset procedure from Apple’s knowledge base to get it to respond again.

And, for some reason, it doesn’t seem to charge when plugged into the USB port.  It shows the battery with the lightning bolt icon on it (which should mean it’s charging) but when I unplug it, I have low battery.  Charged with the wall adapter, it runs on battery power for hours.