One potential problem I see with getting everyone vaccinated is that some people might refuse the vaccine. To mitigate this problem, there should be Police Doctors. Police Doctors are doctors with police powers, such as arrest.
For example, let's say someone goes to a Police Doctor for a checkup and the Police Doctor says he needs a COVID vaccine. If he refused and tries to run away, then the Police Doctor can pull out his gun and shoot him with tranquilizer darts containing the COVID vaccine.
there doesn't seem to be anything here