Is it free to swim there

No. Just pay the enterance admission fee. The fee is $7.00 per person at this specific state park. Kids under a certain age (I believe it's 0-12 years old) enter free. Enjoy and be safe at the park.

No separate fee for swimming. The Park has entrance fee schedule. The cove is the key designated area for public swimming. There is a parking lot before the path to the cove.

$5 per person 12 and older.

Yes, but pay to get in the park

Besides the daily entrance fee, yes