So this problem started a few weeks ago. Sometimes when I unplug my phone (Like 5 min) the battery goes up by 1-5% is this normal? Also sometimes I get really bad battery life
Welcome to Android Central. I wouldn't be concerned about the first, the readout is not the most accurate thing in the world. I always charge to 100% and then give it another 30 minutes. If the battery is going down quickly go to Settings, Battery and see what is using all the power. Most times just rebooting the phone will cure those problems. Clearing the system cache would be the next step.
The battery % reported is VERY generalized and is generated through several measurements you do not see. If you want a more detailed analyses of the battery sensors I am sure XDA developers would be an ideal place to start.