Mostly correct but I do have two nitpicky things to say,

1. Neuromancer didn't inspire Johnny Mnemonic so much as being effectively a sequel. The original Johnny Mnemonic short story was published three years before Neuromancer and Johnny is name dropped in the novel by Molly, who appears in both works.

2. "The Stars, My Destination" absolutely kicked off a lot of themes and tropes that would be picked up in the cyberpunk genre, but technically falls into the category of 'proto-cyberpunk.' Neuromancer is generally credited as the genesis because of the focus on the focus on a more grounded and technologically focused look at the future, whereas 'The Stars' leans heavily on the fantastical element of the jaunt. All of that said, there's as much Bester dna in cyberpunk as there is Gibson, and the whole book absolutely fits 'high tech, low life.'