I experienced a lot of nausea during my first month on and off as well. I just finished my 3rd pack today and during my period the similar nausea feeling occurs right before I get my period and remains during the first or two days. However, I never got to the point where I threw up. I have been on two brands of birth control before and I had such bad side effects during my first month that I stopped taking the pills just after 2 weeks. I think most doctors prefer that you stick through the first month but I think your side effects are a little extreme and you may want to consider doing research on different brands of birth control and choosing 3-4 different brands you would want to try and ask your doctor which one he/she thinks would be best out of those 3-4. Certain birth control pills are more prone to certain side effects (weight gain, nausea, depression) so whatever you're having trouble with, choose a brand that isn't so susceptible to that, there is a lot of information online regarding this.
If you go on the high Alkaline Low Acidity diet for a few months, the pains will go away. Viruses and disease cannot survive in this environment. The diet is available at cayce.com
You will get better and better. Welcome to your new life and peace to you