Around 43 minutes into the movie, the male lead chops a piece of wood on top of a stump. Not only does he split the wood but also the stump. In the next shot a moment later, the stump is back to it original size and shape.
While at the airport on Nantucket, in the background there is an announcement for a flight to Los Angeles. There are never any flights to LA from Nantucket by a regular carrier.
The carousel in the movie was totally outside. The one on Martha's Vineyard has a roof over it.
Near the end of the movie when Paula and Gery meet at the Carousel and the cab drives up. When Aunt Jane gets out of the cab her boots look light gray or white. When she walks away to get into the cab her boots are brown.