Am I addicted to painkillers? ?

Do you stretch after you work out, and or try some physiotherapy, that can reduce some of the muscle pain. When I was working out the most I've taken was advil. 

If you can't stop taking the pain killers then you could be addicted to them. Then you should seek some sort of addiction consoling. 

Your body probably is to a degree but  you are in control   

I have known some who take anywhere from 10 - 15 a day 

Addiction is a biopsychosocial disorder characterized by repeated use of drugs, or repetitive engagement in a behavior such as gambling, despite harm to self and others. According to the "brain disease model of addiction," while a number of psychosocial factors contribute to the development and maintenance of addiction, a biological process that is induced by repeated exposure to an addictive stimulus is the core pathology that drives the development and maintenance of an addiction. Many scholars who study addiction argue that the brain disease model is incomplete and misleading. The brain disease model posits that addiction is a disorder of the brain's reward system which arises through transcriptional and epigenetic mechanisms and develops over time from chronically high levels of exposure to an addictive stimulus. DeltaFosB, a gene transcription factor, is a critical component and common factor in the development of virtually all forms of behavioral and drug addictions.