Getting a virus or an infection can certainly make your MS symptoms worse. What happens when you get a virus or infection is that your immune system starts getting its army together to fight against the alien invader, ie the virus that’s caused the problem. But with an autoimmune disease like MS, the immune system is perfectly capable at the best of times of seeing your normal cells as being alien invaders (which is what happens when someone with RRMS has a relapse). So having a virus can cause your immune system to do a bit of extra beating up of your myelin (which is the stuff that covers your CNS / nerves).
Therefore you can feel extra crappy with an infection or a virus, fatigue is likely to be worse, existing symptoms can be worse, which could be called a pseudo relapse. Or it can cause an actual MS relapse.
I hope you get over the Norovirus very soon. And that the devilish MS symptoms ease off.
Hopefully the Copaxone will help to ward off actual relapses once you start it. (Why Copaxone? It’s got a low relapse reduction rate, weren’t you offered something more effective? Or did you like the idea of Copaxone better?)