Hi Sarah -
I'm not sure your doctor should be calling you addicted. Most RSD pain can only be controlled or slightly reduced by using drugs that require increasing doses to be effective (e.g. narcotics, opioids). That is not being addicted to the drugs. Addiction is when you are taking the pain meds for reasons OTHER than pain control.
Also regarding the cutting -- this is an RSD issue, not a separate issue for another board. There is some biological brain research that shows higher activity in the brain that relates to the urge to cut in RSDers than others. A lot of the urge does have to do with creating an alternate pathway to the brain that overrides that same ole boring RSD pain. Even an alternate pain pathway.
I hope that you can feel 'normal' (?!) for struggling with both the meds and the cutting. Mostly it's part of the miserable disease... hope your docs are willing to do some RSD research and learn about these aspects, so that they are not too judgmental.
HUGS