42-102444 (96th BG, 339th BS) MIA May 8, 1944.MACR 4573
You can see from the citation that it served with the 339th Sqn of the 96th BG and went MIA on 8MAY44.
What this means in reference to the material you posted is that Griggs and his crew flew this plane from a staging area in the USA, stopping at Manchester, NH, over the "northern route" probably through Newfoundland and across the Atlantic to Scotland, then to a base in England.Most probably it went to Burtonwood where the new plane was refitted for combat operations.Then it was given to another crew and sent to its new (96th BG) base where it was lost a month later on operations.
Meanwhile the Griggs crew would get a recently fitted plane that they would take to Grafton Underwood (base of the 384th).The plane they flew there was NOT necessarally THEIR plane.They were just the taxi drivers.They would deliver the plane to the base and report in as a replacement crew and most probably flew missions on several different aircraft once they had received some indoctrination flights.
I wasn't there, but I think Les, an 8th AF Bombardier and frequent contributor to this Board, can verify that scenario.
The coding you cite-- FZ AJ64--is not something that has reference to the combat operations of the 384th.It is most probably a rouing code for the delivery of the plane.
It does not appear that 102444 served with the 384th.