Yes you can. I've gone there several times for a day trip to hike and swim.
Yes
Yes you can go park and hike or swim for the day as far as I know. I've always camped there but I don't see why a day trip would be any different.
Yes you can they have a couple of areas to swim and lots of nature trails horseback riding on trails to camping,and boating also
Yes you can...they have swimming areas and plenty of trails to walk
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