Knew Ady was pulling a fast one. =P I think the best way to handle it since he's changing the Falcon is to change the flight path so it flies off toward the galaxy/star and shrinks in the distance like the script implies.

As for Han, we knew from ANH that Jabba had a bounty on Han's head because he dropped a shipment when he encountered an imperial patrol. Then we find out at the beginning of ESB that Han had a run in with a bounty hunter on Ord Mantell and that now Jabba has placed a death mark on him. From there, Darth Vader then places a bounty to track down Luke's allies and Boba Fett cashes in by following them to Bespin. From there Darth Vader agreed to hand Solo over to Boba unharmed because as Fett said, "He's worth a lot to me." Because of the already established bounty on his head placed by Jabba.