I actually did really good on that tiny little resistor. Helped to have a slightly-more-expensive soldering iron, and a big magnifying glass on a stand. A good flux pen and some care, and boom, done.

The most troublesome part turned out to be desoldering the button LEDs in a way that left the old display board's buttons still usable and in good shape. Though I'm sure I could have tracked down the specs and bought new ones, I didn't want to wait.