Is this park avaible for fishing?

I think i seen fisherman on Northeast part near the bridge.

Yes you can fish

I personally have not seen fishing on the beach, but there is a rocky waterway there that I have seen people fishing.

Yes. Agree with Ro. I saw some there too.

As far as i know yes but not in the swim area

I don't think it does, but a sign did make mention leave the wildlife alone (coyote, turtles, alligator, birds, etc.) , watch your children, Keep a distance, etc. Not to far away, I viewed fishing, boating, and other water activities. Anyway I hope this helps.

Yes it is

Fishing pier is down for repairs but right across the causeway is another public spot for swimming and fishing

Yes.

Yes i did fish off the rocks by the picnic area too.