Battery life after iOS 6.1 update

After Updating to iOS 6.1, my phone decided to black out with 24% battery an the only way I fixed it was to have someone call me while it was plugged in. That was the only time the screen worked. I have also noticed on that day my battery didn't last all day like normal but instead was dead by hour 4-5 of usage. Yesterday, my battery life also continued to be a problem and now this morning even when plugged in the battery says 100% only sometimes, the rest of the time it stops at 98%. So I unplugged it and tried it again and it kept happening. Would say 100% then if replugged in would say 98%. So my iPhone started the day with only taking three hours to die from full battery and after recharge and unplugging it is at 98%, not 100%. Thoughts?