Is internet conetion at the park

Yes, but weak.

Park internet is quite slow. I do have good 4G coverage everywhere in the park from my cell phone provider (Verizon).

Yes but it is limited to how much data you can use each day.

Correct on all accounts. Yes they have it, but it's weak and slow

Yes but it is limited

And it's really slow...

Yes, they have free WiFi