As to jacks and pick-up-sticks, I think those are things I mostly did with my mother. I'm not sure if I played with other kids at those or not!! So, I might have done it at an even older age than the kids here.
I think a lot depends on the individual children and peer pressure. I remember a girl moving across the street and coming over and playing with my dolls. In a way I think we might even have been 13, but perhaps just 11. At any rate, she had already given away all of hers and missed it!
SLIGHT SPOILER
As to the David and Hallie stuff, I've always attributed that to the ghosts. While David and Hallie were clearly too old for the toys, I figured they were being possessed by Tad and Carrie. They seemed to be younger, but even if they weren't, kids back then probably didn't grow up as fast as modern kids do (even in the 60s let alone now!).