Does the Hyatt have a shuttle for quests , and where to ?

The International Drive shuttle picks up and drops off right in front of the hotel. You can buy discounted multi-day passes from the concierge. The shuttle goes north and south, with stops at outlet malls on either end, and many attractions between including Sea World.

Yes. It has a shuttle to Disney Springs

Yes and staff is very helpful

Has Uber and Lyft specific pick up spots.

And The Alamo rent a car

I'm not sure exactly where to but, the Hyatt has a shuttle to multiple places that can connect you to wherever it is your trying to go.