My research on 429 Squadron in which my uncle served from late 1943 to late 1944 may add something to the answers above. 429 Squadron started to receive their Halifax MkIIs in August 1943 and most of these, including JD363, had been passed to them from 408 Squadron. At that time all the Halifaxes had the Tempsford nose and the triangle fins. Tony OT is correct in that it was late in the year when the 13MU working party arrived to fit the rectangular fins. My uncle recalled this work being carried out on the Halifax Mk Vs which started to arrive late October 1943. Graham Boak is also correct in that the Series IA was used to designate those Halifaxes with the full transparent nose and again, most of the Squadron's aircraft had this fitted before the end of the year. This was a time of change for the Squadron as they moving to be a Halifax MkV Squadron, so most of the MKIIs went, leaving only a few with them into 1944. All the MkVs had transparent noses, Morris Block radiators and rectangular fins by the new year.
I would agree with Graham that by October 22, JD363 would have had the transparent nose and the Morris Block radiators. However, it may have still had the triangular fins. The Squadron Commander at the time, Wg Cdr Pattison, had the mid upper turrets removed from the MkIIs and the MkVs to improve performance. Instead, he introduced a Squadron modification, fitting a single machine gun to fire through a hole in the rear fuselage floor, with the gunner lying on a mattress. Later, this was replaced with the Preston Green gun fitting. The Squadron did not get H2S until the arrival of the MkIIIs in 1944.
I hope this helps.
Ray