Are dogs allowed on a leash in the grounds, picnic area or on the fishing pier?

I haven't seen any signs saying they're not allowed. As long as leashed should be fine. They are allowed at the beach so..

I believe dogs are allowed on leashes but bring your fishing pole cast way out there with some weight and just hang around a pole will start bending soon

Yes

Dogs are aloud in Park area there to be leased and cleaned up after obviously so you and the K-9 enjoy yourself,

As far as I know yes we have seen them at both locations in the past.