I have similar problem with C10, when I have empty batt. (phone switch off) I can't to switch it on (with charger too).
I need to plug the batt on some pow.supply for a while (5min) and after then,I can to switch C10 on.
And when I should have a full batt with charger plugged in(charging looks to be ok), I should see a flashing last quarter of the battery symbol,but it only show batt symbol (full) without any flashing).
Thanx for all answers