Plot hole: When Andrew wakes up, Anya mentions the First posing as Warren to make him kill Jonathan. Jonathan's body hasn't been found and the only time Andrew became ready to talk, he was knocked unconscious. They shouldn't have a clue about Jonathan's murder.
Get It Done - S7-E15
Plot hole: When Dawn and Buffy discover Chloe hanging in the bathroom, Dawn gives a little gasp but nothing more. But, seconds later, some Potentials run from across the hall saying "What is it? We heard -" before they see Chloe. While it suits the next scene to have them there, there wouldn't have been any sounds loud enough for them to have heard from across the hall through a closed door.
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