No it is not safe to shoot there
No it is illegal to bring guns of any sort there unless you are a duck hunter.
Fishing, Firearms & Fireworks State fish and game laws apply. Discharging a firearm is prohibited within 150 yards of a campsite, or occupied area, or in any manner or location that places people or property at risk of injury. Fireworks of any kind are illegal.
I wouldn't think so because it's a park with lots of people everywhere....I would think the national forest would be more appropriate
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