Is there a vendor who rents golf carts.

No, the scooter rental is the best you can do

no, there isn't any golf cart rental store at the market. but you can rent scooters! First row, A-67.

I didn't see any place to rent but they have a display of golf clubs that you can buy.

No, but places to sit and relax throughout the buildings.

No, but you can buy golf balls and other golf clubs