New to estradiol pls help

Nina
I just got on birth control about 5 days ago to help with acne and also as a contraceptive. My doctor was not so informative and seemed very rushed when prescribing these to me. I am starting off with 3 months worth and they are small blue baby pills. I just have a few questions for anyone to help answer (: 
Is this Estradiol a type of progesterone hormone because of the shape?
How long will it take before I start seeing improvement in skin?
Is discharge normal in the first few months of getting use to the pill?