Point (2) is no longer true as of 2017 (in the US, 2006 in the EU) [1]. I'm happy to see the FDA getting on top of this regulation. Now let's end careless spraying of antibiotics on crops. [2]
[1] https://en.wikipedia.org/wiki/Antibiotic_use_in_livestock#Un...
[2] https://www.nytimes.com/2019/05/17/health/antibiotics-orange...