No the instructions are clear. Figuring out where the park is just isn't part of the exercise. In fact, by the letter of the rules, it's impossible to find out. Pick any definition of "local jurisdiction" you want and you still don't know where the park is. It is not necessarily in that jurisdiction (or out of it either). It's not necessarily even on earth or in this universe either.
About space stations, ambulances, matchbox cars, and the rest of it I'd venture yes. The only one that seemed remotely jurisdiction-dependent was bicycles.
Can you name a single real park that denies entry to police or ambulances or wheelchairs?
Uh... yeah? Are you aware some parks are dangerous? I just spent Father's day on a narrow boardwalk through a swamp. No vehicles allowed in there of course including emergency vehicles and wheelchairs. If something bad happens, help must arrive by foot. I mean at this point it just sounds like you haven't been to many parks. Parks can vary wildly and so do their rules.