What is a effective pain medicine thats not addictive for a bc patient that sumttimes still have severe episodes sumtimes from the strong chemo taken?

Md consult. Your doctor would decide medication for you- if you have chemo i would not worry about addiction issues. The latest pain patch i'n market is butrens and there are lots of combination pills with opioid and a blocker.
Depends. What is cause of pain? Neuropathic may be treated differently from other ( scar, musculoskeletal, cancer pain, etc). Tramadol or Nucynta (tapentadol) may appropriate strong pain killers that are probably not addictive.