If I’m not staying at the Swsn or Dolphin hotels, Is there a parking fee I may pay to be permitted to park there?

Not free, you need to pay for it, not too expensive just don't remember how much

Yes. Valet or self park. 30 valet 15 or 20 self.park depends on which you choose. Can park there and walk around

Yes you have to pay.

Yes

Self park or valet both have fees

Yes you pay about $30 everytime you exit for non hotel guests

It was $31.69 2 weeks ago for an overnight stay when I was there. (Found that out when I was trying to leave at parking gate)