Apple replaced my iphone after I reported these issues. Only problem, I had the same issues when I activated my new phone. Apple said to try restoring as a "new iphone" rather than restoring from backup. I did that and so far, the battery life is much improved. The restore as new seems to have resolved the issue, but I've heard that the fix doesn't work for everyone. Just for a reference point, when I was having the battery issues, I had 1hr 38 mins of usage, and 5 hours 30 mins of standby and my battery was completely dead. Now that I did the restore as new, I'm at 2.5 hours of usage, 13 hours of standby, and I still have ~75% battery left. Hopefully it lasts.