You've got several questions in here, so I'll just answer my take on one.

Google "Israel Covid Cases."

One March 14, the seven-day average was 2,486. As of April 12, the seven-day average is 222.

Israel surpassed 50 percent of its population with at least one dose on Feb. 24, 2021. Shortly after that, its cases dropped like a rock.

So, do vaccines work? While correlation does not equal causation, it's some pretty strong evidence that yes, the vaccines are working.

I have no idea if Israel is doing other things like masks, social distancing, and more in addition to vaccines.