no, you dont. nor the allen key for the pinch bolts on the spindle, no spanner for the rear either. bit naff innit?

Al - the toolkit will fit in, but it wont look like it really does, its more a case of getting the velcro to catch so it stays put while you wedge the seat on.

one thing you can do to make space is take the small phillips screwdriver out and throw it as far away as possible, I cant find a single screw on the bike that it would fit.