I just finished the latest draft of a screenplay, and will be beginning rewrites tomorrow. I have a list of "passes" I try to make on every screenplay, to try to make it the best I can. But I'm very new at this and still developing "me process" so I'd love to hear how other people approach rewriting.
Here's my current approach:
Outline - I extensively outline the story, each scene and the plot points it hits and how they interconnect and what ideas/concepts I need to plant to pay off later, etc.
"Vomit" draft - based on the outline, I just write, start to finish. NO GOING BACK! I've found if I go back and edit at this point I get stuck in a loop and never finish. If I discoverI need to add or change something, I just make a note to go back after I finish. If the story takes a turn from the outline, that's ok too.
"Notes Pass" immediately after FADE OUT, I go back and fix/add all the things I noted.
Structure/Beats Pass -- Now I read it all, focusing on making sure I have a good structure, plot progression and the beats I need (whether that means "Save the Cat"'s 15 beats in order, or "Anatomy of Story"'s 22 beats, or whatever. I make sure there's a story with a beginning, middle and end.
Scene and Character Pass - Next I go through scene by scene and ask all those questions like "does this need to be here?" "Can I lose this scene and still have the story work?" "Can I come in later or leave sooner?" "Who is this person, do I need them?" "Do they have a unique voice/perspective?" Etc.
Description and dialogue - Then I gut my words. How much can I cut? What one word can replace that sentence? How can I punch it up and give it more feeling without purple prose? Is the dialogue too on the nose? etc.
Reverse Pass - This is a fun one. I read the last page and do whatever I can to make that page stand out. Then I read the second-to-last, etc. Its choppy, and you don't get lost in the story this way. But if I get lost in a scene doing this, I know its a good scene. My goal is to make it so every page, if read at random, pulls you in.
Proof reading Pass - I suck at this. I think its best to have someone else proof read for me. Spell checker catches my misspellings, but not the wrong words. Whenever possible I let someone else do this for me. If I have to do it myself, I get the script printed and use a red pen. I find it easier to proof on paper.
Formatting Pass - At this point, I go through and run a formatting check.
After all that, then I'll send it out to people I trust to read and critique.
Looks like you've got a strong working system. I like to do a 'dialog pass' for each character but it looks like you're doing that on a scene-by-scene basis.