Is there an airport shuttle?

Air port shuttles are no longer offered by Disney. You will have to book third party or use Uber or Lyft.

Yes. You will also have the option of tagging your checked baggage to have it delivered to your room and you go straight to the magical Express bus from the plane. You don't even have to claim your baggage! However there is a chance you will need to wait a couple hours after arriving at the resort for your bags so if you opt to do that, best to carry on some essentials with you.

And, the Magical Express is totally free, round trip!!

Just what Naeem said.

Yes

Sure is

Yes there's magical express