On e doesn't need to read your checklist very far to see it's false:  

2. Have they been safety tested in animals?

3. Have they been subject to medium and long term saftey testing on humans?

Are Vaccines Animal-Tested?

Vaccine development usually involves years of testing, often on animals, before an investigational vaccine enters human trials. The urgency of finding a COVID-19 vaccine allowed manufacturers to move into human trials with somewhat less animal testing than would otherwise have been required. However, government regulations will not allow vaccines to be administered to humans without animal testing. The Food and Drug Administration granted Emergency Use Authorizations for Pfizer and Moderna based on safety and efficacy information obtained in studies using mice, rats, hamsters, and monkeys, as well as information from human clinical trials. Given the regulations and policies that mandate animal tests, forthcoming COVID-19 vaccines will be tested on animals as well.

In addition, all batches of injectable drugs, including vaccines, are tested for pyrogenicity, that is, their tendency to cause fever as a result of bacterial contamination. Historically, such testing was conducted on rabbits. In 1977, the FDA approved a new test using the blood of horseshoe crabs (limulus), taking advantage of the fact that the crabs produce a protein that causes their blood to clot on contact with bacterial endotoxins. The test proved faster and cheaper than rabbit tests, and some argued it was more humane. The crabs are taken from the sea, bled, and, in theory, returned to the sea. The test is nonetheless traumatic and as many as 30% of the animals do not survive.4

A newer method, called the recombinant factor C assay, uses proteins like those from crabs but produced in the laboratory.5 It appears to be as accurate as the crab-based test, with fewer false positives. A second test, the monocyte activation test, is based on human blood cells. Unfortunately, in contrast with the “warp speed” of vaccine development, regulatory acceptance of the newer pyrogenicity tests has been at a horse-and-buggy pace. Vaccine manufacturers so far have not revealed their pyrogenicity testing practices, and continued use of the horseshoe crab test is likely. The Physicians Committee is working directly with regulatory agencies to ensure that all batches of injectable drugs and vaccines, including those against COVID-19, are tested without horseshoe crab blood.