The PSP would actually slow her down and she can't use her sword in it. You need to see what she does towards the end of the series. It's quite epic. Not that dodging lasers wasn't already impressive (visual reaction. She's fast enough to discern where it's being aimed and dodges as it's being fired. They even explain in the anime that she can't move at lightspeed).
Well Leon (the guy Honoka kills in that video) was made of liquid metal (you know, like the T-1000, only better), and thanks to her chi she managed to kill him and destroy him and prevent his regeneration.