This is the battery I recently bought and I get a much longer run time than stock.
Amazon.com Parrot AR.Drone 2.0 1800mAh 11.1V 20C Li-Po Quadcopter Upgrade Battery https://www.amazon.com/dp/B00D75NGJC/ref=cm_sw_r_awd_Kjw0vbY2S28GF
For props just get any props on Amazon with a good rating. Now is a good time to change colors as well.
..the camera (Mobius Actioncam) fell off in heavy weather! Here's the salvaged footage. Alas the 20m fall onto concrete killed the cam but hey, they're pretty cheap. The poor old drone is still up there.
Crashing can also bend the prop-shaft or break a tooth on the gears. http://www.amazon.com/Parrot-Drone-2-0-Gears-Shafts/dp/B007HZLSBQ
Check the gears carefully and be sure all the props spin with the same amount of force when you just turn them with your finger (no battery!).
Mostly I used the offical app (https://play.google.com/store/apps/details?id=com.parrot.freeflight. And yes, it was able to do flips.