The cheapest way in. The Private transfer to Lübeck is 10 minutes quicker for €213.10 more, which is not worth it at this party size.
S1 and RE8 to Lübeck
S1RE8 · S-Bahn Hamburg and DB Regio, on the Schleswig-Holstein-TarifPickup, hours & luggage
Boards at. The S1 platform at the airport, the same train that runs to the Hauptbahnhof
One Schleswig-Holstein-Tarif Einzelkarte, Preisstufe 10, covers the S1 and the regional train together and already includes the Hamburg AB fare — no separate hvv ticket is needed.
Luggage. The S1, then an ordinary regional train with racks.