Do you provide transport to and from airport or do I need to rent a car?
Sorry, I don't know the answer to that. You can call the lodge.
I could not get them to pick me up when my wife and I arrived at the airport because they said no one was available (ended up taking a taxi). I reserved the van going back to the airport. By the way, it is not free and is basically the same cost as a taxi. I would suggest renting a car because Eagle Crest is out in the middle on nowhere and there are not much choice of what is available.
Get an answer from The Lodge at Eagle Crest staff and past guests.