From the NCAA Eligibility Center document "Academic Eligibility Frequently Asked Questions":
http://fs.ncaa.org/Docs/eligibility_center/Student_Resources/Initial_Eligibility_FAQ.pdf
"Will courses taken after my senior year meet core-course requirements? For Division I, maybe. Only courses completed in grades nine through 12 will qualify as core courses for Division I. If you graduate from high school on time (in eight semesters) with your incoming ninth grade class,
you may use one core course completed in the year after graduation (summer or academic year) prior to full-time collegiate enrollment. You may complete the core course at a location other than the high school from which you graduated and may initially enroll full time at a collegiate institution at any time after completion of the core course."
So if Dinero Moss or Hinojosa or Gregory graduated but were one core course away from NCAA eligibility, this would explain a possible way they could not qualify for this fall but still qualify for next spring. Otherwise it sounds like you have to go the AA route.