Also, if MWI hypothesis is true, there's no way for one branch to interact with another later, right? If there are two worlds that are different based on some quantum event that occurred in 1000 CE, those two worlds will never interact, in principle, right?

I think it depends on perspective. We notice worlds interfering with each other in the double slit experiment. I think that maybe once you are in a world you no longer see evidence of it interfering with other worlds? I'm not really sure.