Do any medical prolems show up when an employer does a background check?

Shouldn't be. Back ground check typically involves legal matter--crime, time behind bars, dui, loan default, child-support problem, drug use etc..Medical problem typically is not in such report, but can be. For example: a person be hand-cuffed started having chest pain/heart attack and thus transported to hospital instead of jail, this is likely a part of that report. Be honest. Be employed. Good luck.