I feel pain around the kidney area when I take pain killers, is this kidney damage or what?

Here are some ... The pain over the kidney is oftentimes not related with kidney disorders, but is necessary to be evaluated so to identify what causes the pain. To do so, Doc need to analyze the info on its onset, degree, duration, interval, progress/evolution over time, conduct physical examination, and do tests such as UA, imaging studies such as CT scan, etc. to diduce possible Dx for reasonable Rx / care.
See doc. Best to see a physician and make sure you do not have an infection or kidney stones.