Are small dogs allowed?

Yes 😀

There is a dog park beach area where they are allowed, but no dogs are allowed at any of the other beaches

Yes dogs are allowed in the park but not on the beach.

Hopscotch is correct

Did no allow no pets and the state park

I don't remember seeing any dogs on the beach

There is a dog beach at the south end of the park. Outside of that area all dogs must be on leash at all times.