They got rid of the covid vax requirement for the military at the very beginning of 2023. Flu shots, the other big controversial one, are also not required.
You still have to have the tetanus, meningococcus, hepa is, polio etc ordinary vaccinations but 99% of conservatives aren't against those. There's a small fringe of total antivaxxers that are, but they're not enough to poll anyone to the debate stage in a primary.
No... China did.
Biden didn't directly, but he might has well have since he lied about it and lied that getting the jab(s) would protect you from getting covid.