https://www.felonyflorida.com/driving-without-a-valid-drivers-license-florida-statute-322-03.html
Driving without a license is indeed a criminal offense.
About the open container thing. You are right in the case that it is not a criminal offense in florida. The cop I spoke to works in a different state. And yes, apparently open container means not empty.
But again, she should have been arrested upon failing to show a driver's license. After that, they would have been able to test her sobriety, according to you.