According to Wikipedia, Malaysia is in Oneworld (has been for a few months), Qatar is working on it (should be done in October) and Korean Air is (as I had expected) on Skyteam, not Oneworld. You might still have some benefits, though. I wouldn't be able to answer that one.

Just to check, how long has your son been employed? ZEDs need 6 months of seniority to be eligible, and I think some ID agreements require a year.