Are you certain your doctor told you the pains were "new lesions"? Generally lesions by themselves don't cause pain. Their destruction of the nerve path might cause pain, but it's not like the lesion is a "sore", and so "painful". I'd probably be back asking the doctor about that.
Shelley mentioned icepick headaches, a form of migraine. That seems much more likely.
At any rate, if indeed you're experiencing that several times a day, and with the severity you describe, you should be back to your doctor and follow-up with it. It's not a typical MS symptom.
...I am not a doctor, nor health professional, and don't pretend to be one, here.....