The Moon administration is continuing to try and push Cho Kuk into the powerful Justice Minister position despite the corruption allegations:

Cheong Wa Dae on Friday ratcheted up pressure on the National Assembly to hold a confirmation hearing for the justice minister nominee, frustrated by a political dogfight over the issue.
Cho Kuk, a law professor who served as senior presidential secretary for civil affairs, is at the center of intensifying bickering between ruling and major opposition parties.
Three weeks earlier, President Moon Jae-in nominated Cho to be the new justice minister amid his drive to reform the state prosecution.
Cho, however, has faced harsh political attacks and public condemnation over a host of scandals, including suspicions about his daughter’s entry into coveted schools in South Korea and dubious investment in a private equity fund (PEF) by Cho and his family members.
Political parties have agreed to open a two-day hearing next Monday but failed to reach a deal on details, including the list of witnesses.
The main opposition Liberty Korea Party (LKP) says the nominee’s wife and other family members should testify in parliament as well.
The ruling Democratic Party is opposed to the call, stressing that it’s enough to give Cho an opportunity to explain the scandals.
Yonhap
You can read more at the link, but obviously the ruling party does not want Cho Kuk’s family members to testify because there is no way to explain away the alleged corruption involving his daughter.
This whole Cho Kuk nomination shows how committed the Moon administration is towards changing the ROK Constitution to make it easier to form a confederation with North Korea and allow President Moon to run for a second term. Moon’s close friend Cho Kuk becoming the Justice Minister is part of this strategy.
After his confirmation the next part of their strategy will be increasing their hold in the National Assembly in the 2020 elections to facilitate changing the ROK Constitution. This is why the Moon administration needs to continue to play the anti-Japan card and depending how things go with North Korea, we may even see the anti-US card played as well leading up to the election.