No to all questions since there’s probably a way in which doing any of those things still obeys the rule. The rule is about achieving the intent of the rule, not rote obedience.

The park might contain a parking lot, or an area where skateboarding is permitted, etc. Absent context, or a specific park, who could say if any of the things listed violate the rules.

As for what constitutes a vehicle, this is why you give examples.