I know that the Betaseron and Avonex companies offer a nurse that we can call with these sorts of questions. Is there anything like that with the Copaxone literature you have? Or you can go on the web site and see if there is a toll-free number you can call.
I suspect you'll be fine...but you might want to look around for that phone number and call, just to be sure.
You say you don't have a neurologist. Do you have a regular family physician? You might call him, too. (I don't use a neuro for anything; everything related to my health, including injecting Betaseron and other MS issues, is handled by my primary care physician.)
...I am not a doctor, nor health professional, and don't pretend to be one, here.....