Is there a place to have a picnic outside of the park that is also shaded?

No....I did not see any picnic area

no

Yes, they have two picnic tables right outside in the parking lot

I did not see one

Full capacity. It was super full the time I when. Didn't saw nothing for picnic

there is somewhere along the bus stops, but if you leave the park and the get to capacity, you wont be able to get back in.