(in before tl;dr)
You could take some influence/steal jokes from Darths & Droids (wonderful SW-based webcomic btw). Well, not a copy paste per se, you know what I mean.
-In Tantive IV, when the imperial officer explains to Vader an escape pod with no life forms was jettisoned, this happens: http://www.darthsanddroids.net/episodes/0687.html
-In D&D our Han Solo (Harrison Ford) is Greedo and a complete idiot, and our Greedo (the puppet) is Han Solo and owns the Milennium Falcon. Greedo asks Han to deliver him, Chewbacca, two humans and two droids to Naboo (Naboo, Mustafar and Alderaan are the same planet in D&D). But in order to cover the whole plan he also asks Han to act as if he's the copilot, and Greedo is the owner of the ship. Han of course refuses, so Greedo kill him and takes both his identity and the ship.
It has a lot of consequences in later scenes/episodes of the webcomic, and it could also gives some funny moments in your ROT:
•Maybe Ford-Solo could create identities and/or names in-the-fly, backfiring it later. Example: in the detention block, when the anonymous officer requests Han's ID, you could make him say "Boba Fett" in a nervous way (taking a voice sample from RotJ), not knowing there's an actual person in the galaxy known as it.
•Ford-Solo does not have a clue about how to pilot the Falcon, or ships in general, so Chewbacca constantly helps him. When they reach Alderaan's remains the heroes (and Chewbacca) think Han has taken the wrong route.
And a few more ideas I have:
-Rather than Vader being worried about workplace safety, make him afraid of people being hurt in general after his traumatic experience in Mustafar. So Bingo's idea of unchocking Needa and the officer fron the Death Star is inserted here. But he unintentionally kills Antilles, rebel pilots and imperial officers, making him more and more paranoid over the course of the trilogy.
-When Vader's Star Destroyer shows up in ANR's opening, put Hayden's "I HATE SAND", as technically Tatooine can be seen in the SD's windows.
-Make one of the characters have obsessive-compulsive disorder. For example Luke: he opens and closes the Death Star's doors several times, fires his blaster a few more times after a battle, etc.
-Maybe Leia already knows Vader is his father and that's why she joined the Rebellion? As if she's still 14.
-Obi-Wan says "from a certain point of view" too many times.
-When Luke asks Obi-Wan about his father, put some awkward silence, or maybe a few flashbacks of Anakin being... Anakin.