Hi,
1.I think you should not spend more than 2 hours there.
2.You should Check-In at T1, hall A and ask for the shuttle to the FCT.
3.There´s no better choice. ^
4.Yes, you can. I think you can find it on lufthansa.com
5.Yes, you´ll get a pyjama ´cause its a overnight-flight.
6.No.