Greets,
I normally do Stansted-Lubeck with Ryanair.
There's a bus directly outside the airport where it takes
you directly into Hamburg.
Bus terminates at Hamburg ZOB bus station and that's
only 100 yards from the main railway station Hamburg HBF
Takes around 1 hour and is 7 or 8 euros single.
Buses back go from the same stop, but check the times at
the airport(just as you come through customs, there is a
smallish poster up in the window of the tourist office with
the times on.
Lubeck is a pretty tiny airport anyway but it's good.
A few others do like to head into Lubeck for a beer first.
There are bust stops just outside again where the buses
go into Lubeck, Lubeck to Hamburg by train only takes
around 45-50 mins from memory.
Hope this helps...
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He didn't go round nowhere, i just sent him round !