Germany - Hamburg metro ques.

I haven't been to Germany in over 20 years. The last time I was in Hamburg there were two metro systems, the U and S, one of these was owned by DB (and valid with a Eurailpass), the other owned by the city and not valid for travel with an EP. Is this still the case?

The "S"-bahn is still owned by DB and the "U"-Bahn still owned by the city.

The Eurailpass is not valid on the U-Bahn, however you can buy for example a day ticket valid for the whole system from 9am til midnight for 5,50€