The opening title was definitely a Star Wars homage. Chibnall absolutely loves this kind of jokey homage as so many of his episode titles are puns on other films and popular culture, including Dinosaurs on a Spaceship (Snakes on a Plane), Spyfall (Skyfall), 42 ('24') and The Woman Who Fell To Earth (The Man Who Fell To Earth).
The others you list are more like common sci-fi tropes than specific references. You might well be right about the inspiration, but I'm not sure they were original concepts before the sources you cited. The Dalek acting like an 'Alien' facehugger was too close not to be inspired by that, but I didn't feel it was the first time the Daleks in their true Kaled form have been made to look like that. When they were scuttling around in Moffat's Twice Upon A Time it seemed like they were being made more Alien-like.
Another trope you didn't mention was the way the Dalek clones were being grown in chambers suspended in fluid. It is an idea seen in Alien 3, but also the visual of the chambers stretching vertically as far as the eye can see reminded me of the fetus fields in The Matrix.
I know you were looking for references outside of the show itself, but there were a couple of ideas in the episode that appeared to be references to the extended universe of Doctor Who. The concept of the original Daleks destroying 'impure' man-made Daleks was lifted straight from the Big Finish drama Blood of the Daleks. And the prison in which the Doctor had been incarcerated resembled the Time Lord prison Shada from the unaired episode of the same nameThe Matrix.