My body reacted to Lantus + Novo insulin

I am in Lantus insulin 15mg per day. I had some high numbers and my Dr. added Novolog 1 unit before meals, then increased to according the carbs I was going to eat. Injected 2.5 units and my body went crazy, I had a burning reaction. I felt like I was burning all over, mostly in my eyes, face, and legs. I stopped injecting Novo, and kept Lantus but my sugar numbers are rapidly dropping. Numbers drop 20 to 90 points in 1.5 to 2 hrs. Is that normal? What happened? Do you know?
I am not injecting Lantus today since my numbers are dropping too fast, I already had 3 low sugar reactions!
Any idea or advice.
Thank you!