Taking them to a certain place: "Is the same control" (Remember, he controlled Daniel in the same way.)
Leaving the hotel to keep an appointment is the same thing. Was the friend that Mo was going to help out a Howard/Mo friend? In other words, was Howard controlling Mo's itinerary?? I'd guess that Mo would be invited to go and see the boat with Howard.
Tas said that she called Moe because she knew he could be there before 911, because he wasn't that far away. That's got to be awfully close. He's have to be practically on the hotel property for that to be true.
In one of Moe's many interviews he says he went to help his brother move some furniture. That was his errand.