I was on Cimzia for 2-3 years and that reaction you are describing is very common. I would get those white lumps from injecting the medication. Cimzia is very thick so it will leave a bump when you inject.
Are you using the pen or the prefilled syringe? I always used the prefilled shots because I like to slowly inject the medication because it didnt hurt as much. If you are using the prefilled and are giving yourself the shot, they should have taught you how to aspirate to make sure you are not injecting the medication in a blood vessel. If they didnt teach you, ask your Dr.'s nurse to teach you before your next shot.
If you are using the Cimzia pen and it caused the bleeding, try to avoid giving yourself a shot in that exact area again. You may have hit a blood vessel that time.
As for the medication bump in a different area than where the shot was is because the medicine is so thick and it will take the path of least resistance. Not too worry about that.
Hope this helps!