It doesn’t help your application especially because you have young children who will not have any in person interaction with their father that they can remember. When applying for sponsorship you should continue to show proof that you are in a relationship and most people in a relationship would meet in person more regularly. There is a certain period that can be overlooked due to Covid but not the full 3-4 years. Vaccinations are a very touchy topic but unless you were unable to get the vaccination for medical reasons many would get vaccinated so they could see their spouse and so their kids could see their father. I would be speaking to your lawyer. They are the person who can guide you in terms Of what may happen and dependent on the option what further steps must be completed.