Yes, there is a trolley that runs through Pigeon Forge and Gatlinburg. However, even though we are only a five minute drive from the strip, the trolley does not come to the resort. You can drive to the main trolley hub and park for free. Then catch a ride to wherever you like.
There is parking at each area within the resort. The pool and playground/mini golf is actually better to drive to then to walk. They have a grill restaurant there too. It was good as well for lunch or snacks. All the cabins are within 5 minutes (or less) of check in. Not bad at all. Not sure about lazy bear. If it is a parkside resort cabin, then it should be within the gates.
No they had all of the bedding and towels. They even had towels by the pool. However, keep in mind, the towels are rather small, but they work and it's one less thing to pack and haul! I think they offer maid service at an additional fee. We didn't use it! Enjoy your vacation!