No bikes.
No, it's not that large of a park. You can rent small boats tho.
No,
There are bike raks for those who want to ride to the park but no biking in the park. The park is an area for eating and lounging, viewing and kayaking.
I have seen people biking, though I am not sure about the rules! It has great camp grounds, but its always best to check with the camp guard on policy!
No, not that i know of.
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