You just need to read the laws you cited. Nowhere do those statutes authorize a Judge to be both proxy and trier of fact. Nor do they authorize the state to order a citizens death. Did you read them?
Nope. I don't know enough about the whole of Florida law and precedent to be able to responsibly make a direct comment. Do you? I was going off someone who was more of an expert -- the federal judge assigned to this case by a Congress that wanted her to live.