Yes
Yes you can
Yes there are grills but it is better to bring your own.
They have picnic areas, so I'm assuming you can. I doubt anyone would say something like HPD, the Constable or Sheriff because I've yet to see any on patrol.
Yes u can take your own grill
In the park there are grills but it is better to bring your own because on weekends there are many people!!!!
Thanks! Your answer is awaiting moderation.