Will the US Immigration Bureau find out fingerprints and bad records in Korea?

Yes Under normal circumstances, the US Immigration Bureau will conduct background checks, and everyone's bad records, including repatriation or illegal detention records, will be found out. The US Immigration Service is attached to the US Department of Justice. The enforcement power of immigration law belongs to the Minister of Justice, but the Minister of Justice usually authorizes the Immigration Bureau, so the Immigration Bureau has become the core enforcement agency of immigration law, responsible for handling immigration and non-immigration applications, foreigners' entry and exit, border patrol, arrest and expulsion of illegal foreigners, refugee review, and punishment of illegal employment.