Have you discussed this with your doctor?
I take a cocktail of medication which treat my symptoms for MS and fibro.
And I've stopped asking myself if I am addicted or not as I believe for me it's just another form of torturing myself, focusing on this.
Addiction is characterized by certain types of behaviour and thoughts, and only you (and your doctor) will know if you are displaying these, i.e. keeping secrets etc....
Feeling 'relief' when you take a painkiller isn't addiciton. Painkillers kill pain. You're on shaky ground though if you are taking them to get high or to kill other problems in your life.
Take it easy