Hi!
On page 7 I told that I was going to drain the battery and then use the app Battery Doctor, and let it "trickle charge" over night. I did this yesterday!
I got up at around 7.30 in the morning (100%) and started to read some news and mail and watched a small youtube video. Started a radio app on airplay, and let it play during shower. Then got out of the house with audio app playing when going to the office.
I noticed the 100% stayed quite a long time while doing some of the forementioned things, but started to drop. When I got to the office, I was down at 95%.
During office hours, I had a few calls and surfed the net and checking out a few apps.
After work (around 16.00) I was down at 85%.
Then listening to audio while I got to the gym. At the gym, more audio and updating RunKeeper; use for about 1.5 hours.
When I got home at about 18.30, I checked Usage settings, and it told me usage 5H 47M, and my battery was at 67%.
When I got to bed I think it was down at 50-something%. I think this is better than before the use of Battery Doctor, but it could be "placebo", but I hope it´s getting better.
During the day, I had fiddled with the sim pin again, and this made it drop connections again, even the WiFi! Had to do restarts. Going to disable pin via another phone again, since this worked for me earlier.
Recent news claims there is in fact just a software problem, so I hope Apple pushes another update as soon as possible after locating the bugs!