Ice pick headache

Hi, just over two weeks ago, I had a terrible shooting pain through my head and eye socket, it lasted about 20 seconds and it was so bad, it scared me, and even hitting my own head to stop it, since then, I have had head pain and aching and the odd migraine and shooting pains, lightheadedness and my eye socket still aches at times. Dr said it's a migraine. And gave me tablets. I do suffer migraines anyway, but this is going on a bit long, I get them about 2 days normally, not two weeks. And first time having an ice pick headache. My question is, could an ice pick headache bring on a migraine?