***Baptists are much older. Baptists organized in England around that time, but to say that is when they started is simply historically inaccurate.***
Do you have any evidence? The earliest Baptist attribution I’ve ever seen is Smyth in Holland.
With the Title “Baptists”, no. Anabaptists, yes. Other re-baptizing groups, yes. Again, not all of these groups was a homogenous unit either, as Baptists today are not a homongenous unit. But rebaptizing of believers is something that is a hallmark of Baptist churches, and you can find that stretching back to the early days of the churches.