If you are injecting a vaccine into the vein, you are purposely doing it wrong, with well known risks and health effects. That does not meet any standard of care. They are IM injections.

As long as you personally stay in your home and do not interact with anyone else non-socially distanced or without a mask on, and you're not a licensed to provide a service to the public, or attending a public institution, then I would say you should have the moral right not to be vaccinated for a highly contagious and moderately deadly virus.

BTW, if you catch Tuberculosis you will be forced into house arrest and the health agency will force you to zoom call for every pill you take once you are released after 3 months.

Yes, for the same reason people have the right to prohibit you from consuming certain substances before driving: you don't have a right to put other people at substantial risk of harm.

In the case of vaccines, yes, this is widely true.

As far as you want to interact with them, yes.