No Airport shuttle, but the water taxi is not too far from there. The water taxi will pick you up from the harbor by the iMax theater and drop you off at the Hyatt at Logan Airport. From there you may take the Hyatt shuttle or a taxi to the terminal. It's a headache.
Yes
Yes it does it right out the back side of the hotel .its a boat $10 bucks and fun alot of people using it
No
You can pick a water taxi up outside the hotel back to the airport
From when I last went, the hotel itself didn't seem to have a shuttle service.
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