Thanks for posting the audio clip cptbrw.
Thanks also to nitroboie for the additional information (but no audio clip provided ). However the absence of audio from nitrobie spurred me into listening to the incident on the alternative JFK feeds and I've produced the attached audio clip as a result of this. My clip is from the JFK Tower feed which covers both 31L and 31R. This feed is a bit noisier than the one used by nitroboie but it includes the two go-arounds (in practice, one by Delta 2103 and one by Delta 44).
Sorry, I was mobile for the majority of the weekend but was finally able to edit a clip down. Some may find it boring others may find it interesting for how planes are worked back into the pattern.
The file attached is DAL2103 going around from 31R, vectors for the 31L approach, cancelled 31L approach, more vectors, and finally landing on 31R. Audio used was from Feb 10 KJFK TWR 1191 0330Z, KJFK NY DEP 0330Z, ROBER 0330Z, ROBER 0400Z, and TWR 1191 0400Z.
DAL44 appears to have diverted back to JFK. KJFK-Twr-1191-Feb-10-2017-0330Z at 6:40 the plane is cleared to take off, I'm not sure why they returned to Kennedy.