What I do need help!

First off, the battery % indicator doesn't seem to increase when on the charger. For example, my wife had 55% battery power when she went to sleep and put the phone on the charger. When she woke up, still 55%. She restarted the phone, which then dropped the battery level to 22% (even though it had been on the charger all night).

Now the phone is randomly restarting by going black, then immediately to the startup screen (white Apple logo). It restarts very often.