The recording equipment used for making the record was clearly acoustic in nature, showing large horns. This type of recording was largely replaced in 1925 by electrical recording, using microphones. Yet the recording was made somewhere between 1927 and 1933, according to Tooney's story. Furthermore, the recording engineer played back the matrix immediately; this would have ruined the matrix, which was cut in wax. In those days, immediate playback was only possible using a 2nd set of equipment expressly for that purpose.
At the beginning of the film, the immigrants are happy to be entering America through New York. However, the ships are shown passing from right to left in front of the Statue of Liberty. This would be taking them out of New York harbor, not into it.
When the passengers first see the Statue of Liberty, it is shown reflected in the sea. However, the reflection appears to be an image of the statue laid flat on the surface of the water, whereas a real reflection should appear to extend straight down below the surface.