How long does it typically take to charge the extended battery? And what are typical battery life times? I just had my phone warrantied and to me it seems like it doesn't charge as fast and doesn't last as long.
If you look on the charger cable it says 3.5 hours for a standard battery and 5 hours for an extended one. I think that's from almost dead to full charge. Typical life time is subjective. I've had my extended battery last over 2 1/2 days with moderate use and set up for battery saving. Unless you're a power user an extended battery should easily last you the entire day. Mine lasts the whole day with my screen brightness at 100% and running a live wallpaper.
What was it plugged into for over 5 hours in the screen shot? Under settings power it shows battery status. Charging(AC) is the higher rate. Charging(USB) is the lower rate. So how are you charging it?
Does the phone charge normally when you use the stock charger?
I have heard of people using cheap chargers that are rated very low (<500ma) or malfunctioning can cause this issue... a sales person in or office had problems charging his phone a few weeks ago so we asked him to bring in the charger, not sure where he got it but it looked kinda like a factory Motorola charger, but when we looked at it closer it was only rated at 5V@250mA, which he had obviously mixed up chargers for something.
I would fully cycle the battery (under 15% to full) twice with the stock charger and then see if the problems persist under the stock charger, if it clears up suspect the dock or it's P/S, if it still has issues it might be the battery itself.
If you're in a brightly lit area your screen on auto is going to eat your battery quickly.
Might I suggest you get an app called Gsam Battery Meter? It can help you fine tune exactly what is using battery including how much each brightness when it's set to auto is using. It helps find apps that might be stuck running, signal strength battery usage, etc.