1) If you have the screen on a lot, you won't get good battery life - the screen will probably be the largest battery consumer - especially with an Amoled screen and all that white (an Amoled's power consumption varies with the white level of the screen) Overall time between charges may improve a little (especially if you condition the battery - see
The Care and Feeding of Lithium Polymer Batteries), but not that much.
2) Look at your battery stats in Settings. Tap the graph to get to the second page. Look at the mobile signal. If it's not green all the way, you have a weak signal, and that's going to cost battery. (If the signal is weak coming from the tower, it's going to be weak going to the tower, so the phone increases its transmitter power, which eats a lot of battery.) Also look at the Awake line. If th phone is awake a lot when the screen is off, you'll have to find what's waking it and make some changes.
3) An average charge to charge time ("Battery Life") of almost 11 hours isn't bad for a new battery when you're using the phone almost 60% of the time. (Also, if you don't want to spend a lot of money replacing batteries, don't let it drop below 40% except for conditioning it.)
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