Here's something that popped into my head while watching the film again. What do you think about having the propulsion lights on the Millennium Falcon off while it's being pulled into the Death Star's hanger? I just can't get that one line that Han said out of my head.

Han: We're caught in a tractor beam and it's pulling us in.
Luke: There's gotta be something you can do!
Han: There's nothing I can do about kid, I'm at full power. I'm going to have to shut down.

It would make sense from everyone involved in it's capture, especially from the view point of the technicians and troopers looking at the ship entering the hanger with it's propulsion lights off. It'd be quite silly if someone looking at the ship entering the hanger noticed that it's engines were on during the capture and yet shut down the moment it stops when later they conclude that the ship was abandoned earlier.