Does the park have park maps on site and if they do, is it possible for them to send some to me in the mail?

You dont need a Map you can see all the. Rides upon Entrance. Even though as an adult you can on everything with the kids. Its A kiddie park

No need for a map, it's a small place. You cover the whole place in hour or two depending the amount of people there.

The park is small and compact. You really don't need a map to see all the attractions.

I don't recall any maps of the place, however it is small enough you really don't need one.