Question: Does the NCAA Eligiblity super score the ACT? There are four parts, and the min is 68, will they take the best from the four parts from multiple tests?

Yep. In an era when nearly every kid is an All-Star, it shouldn't surprise you that aspiring college athletes can take the ACT as many times as they can tolerate. Then the NCAA will accept the best sub-scores from different test sessions in order to facilitate reaching the cut-off score. See http://www.ncaa.org/student-athletes/future/test-scores