Yes but you can TRY and get a "guest pass" to try it out for one time
If you mean thè court inside the center, then yes: you need a membership. If you need the outdoor courts by the park, then no: they're open to the public.
You need a membership. It's 25 dollars if you're under 25. I think it's like 120 after that.
I don't think you do, you could probably can ask the stuff to be sure
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