Other mistake: Towards the end of the episode when Spike tells Buffy to stake him and removes his shirt, you can see that he has a tan on his upper back/neck to his hairline from wearing a t-shirt.
I Was Made To Love You - S5-E15
Other mistake: According to Buffy's watch, the first scene with her, Dawn and Joyce starts at 4:23 PM and ends at 4:24 PM. But the scene lasts much longer than that.
Answer: She has superpowers, ergo fast movement. The reason she outruns him so easily in "Touched" is that she stops trying to actually fight him and just dodges instead.
Shay