#1 - You say "let the parents choose which school they like the best". Schools have a certain number of seats. Let's say 500 for an Elementary School. 1000 families choose to put their children in the same school. Must that school accept all students? Who is responsibile for the additional transportation requirements?
#2 - I'm a responsible parent, I research the area and buy a house across the street from the school I want my children to attend, do I get first shot at my neighborhood school or do I have to now compete for a slot?