Adding more rules will just create perverse incentives (e.g. parents incentivized to increase crime rate in their neighborhoods to boost their children's scores.)
For example, if Alice is raised by two loving parents in a so-so neighborhood she gets a score of 50. If Bob was abused as a child, put into foster care at 10, and adopted into a good neighborhood at 14 he gets a score of 25. Due to Bob's past he is way behind in school but works hard. Bob and Alice both end up getting 1400. At a selective school its possible that because Bob his a lower adversity score his application automatically gets rejected while Alice's application gets looked at and accepted.
This is the kind of case that is possible with an "Adversity Score" that bothers me.