Plz remember that you have to go to a JL counter and get the little flimsy bus passes..Go downstairs to the ground level and try to catch anyone of the buses that go to T1 .If the JL pass won't do , they will not let you on ( I think there are 3 buses ran : 1 for the airport / 1 for Star Alliance / 1 for another group ? ) . What I am trying to say is try to get on the 1st bus that comes along to go to T1 ( if they let you on )..Don't just stand there and wait for the JL bus .
I did the reverse connection from AA ( same
T1 as CX ) to JL in T3 in 25 mins . That is
with the experience of 6 RTs on AA at NRT .