The hotel itself doesn't have a shuttle, but an Anaheim Resort Transit line to Disney & Anaheim Convention Center stops at the door to the hotel lobby, and stops every 20-30 minutes.
If you mean is there a dedicated shuttle to and from the airport, then no. Your best bet is use Uber or lift or try Karmel service who do pick up from departures at LAX. If you mean do they do shuttle to and from the park then as Alexander said it's walkable, but there is the ART bus service which is 6 dollars for a day ticket.
Yes. Totally walkable too. Unless that’s a challenge for you.
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