The facts of his kids getting into the same college he was the President of seems less concerning to me than the draft exemption his son received:

The office of President-elect Yoon Suk-yeol said Monday that whether the health minister nominee is fit for office should be determined after his confirmation hearing, despite calls for withdrawing the nomination over suspicions he used his position to get his children into a medical school.
The nomination of Chung Ho-young, a former chief of Kyungpook National University Hospital, has become the hottest political issue after allegations surfaced that he used his position to help his daughter and son gain admission to the university’s medical school and exempt his son from active duty military service.
Yonhap
You can read more at the link, but the facts around his kids admission seem flimsy to me. However, his son claiming a back injury is preventing him from doing his mandatory active military service I find questionable. The medical exam for the exemption was done at his father’s university hospital:
On Oct. 27, 2015, Chung’s son visited Kyungpook National University Hospital again. The medical certificate issued for military examination stated on Oct. 29, 2015 that “Patient is waiting follow-up after being diagnosed with a herniated disc in the 5th to 6th lumbar vertebrae.” On Nov. 6, Chung’s son was diagnosed with a “spine disease” during a second physical examination at Daegu Gyeongbuk Regional Military Manpower Administrationand deemed a Level 4 draftee, eligible for a desk job instead of active-duty service.
Joong Ang Ilbo
Chung’s son completed his military service by working at a desk job instead of active-duty service. It was also notable that Chung’s son only spent about 150,000 won for medical expenses over the past five years, according to press accounts, suggesting a good level of health.
If his back is so bad that he can’t do active military service than he should have a long medical record of physical therapy, acupuncture, and follow up medical examinations. If the 150,000 won figure is true then all this follow treatment was likely not done which shows his back must not hurt all that bad.








