Don’t Worry Too Much About the First Coat
At least on the pieces I’ve painted and from my experience, I’ve never had a first coat look right. The important part about painting the first coat is too keep the paint even enough that there aren’t any drips or lumps and that the paint doesn’t pool up in the corners. The first coat always to me looks a little irregular in that some parts are a little more transparent than others. I don’t worry about that too much. The bottom line is to make sure that you have a good foundation for a second coat, the first coat usually for me does not look finished.