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1. ... I have a new book "Japanese Army Operations In The South pacific Area - New britiain and papua Campaigns 1942-3" Its an English translation of the the Official Japanese history, which you might know is still being completed.
2. As as an example, I have looked at some raids over Lae On March 19th [22nd]
3. and 22 [23rd] by the RAAF..
1. Yes, that's an excerpt from Vols 14 and 28 of Senshi Sosho (War History Series), the Japanese official history of WWII. It's available online:
Australian War Memorial - AJRP Essays
That 102 vol history was actually completed more than 20 years ago, but not much of it has ever been translated. Also it's out of print, various vols sell used for reasonable and unreasonable prices. I have a couple (vols. 24 and 34) the ones mainly relevant to the "Bloody Shambles" period and campaigns. The Japan Defense Agency has said it will re-publish the whole series on CD-ROM eventually ('early 2010's' I've heard), but again untranslated.
Note that vols 14 and 28 are both entitled "Army Operations in Southwest Pacific...", so the description of the Navy's air ops (75th Sdn's was strictly facing the JNAF), are not the most detailed available and those translated excerpts seem to skip certain periods. There may be more in Navy centered volumes like No. 49, and AIUI there's also lots of more detailed Navy air unit documents for that period in the JDA archives; remember that's the principal source about the 202nd Air Groups's ops over Darwin in 1943 rather than any Senshi Sosho vol.
A good book however which uses a different original source is "Seek and Strike-75 Squadron RAAF 1942-2002" by David J. Wilson. Wilson used the files of comms intercepts in the US National Archives which describe the losses reported via radio by the Japanese units in Papua back to Rabaul, for certain days, not complete unfortunately. Also 'standard' works like Hata/Izawa shed some light on this period.
2. March 22 1942: the comms intercepts in Wilson plus other source (Hata/Izawa) make clear one Zero was lost with pilot (PO3C Keiji Kikuchi, 4th Air Group) to defensive fire of a Hudson in strike after the P-40's. The 4th also reported (to Rabaul, intercepted and decoded by the Allies) the loss of 1 bomber and 5 Zeroes (8 more damaged) on the ground; and two pilots WIA, not clear if in air or on ground. But there's no mention of a second a/c's aerial loss, so that discrepancy with the Army's summary is something to be worked out with more research. With the actual Vol 18 we could see what source is footnoted in the Army summary.
3. March 23: I don't see where the Vol 18 excerpt mentions any Zero losses. But one was lost, PO3C Kyoichi Yoshii, 4th Air Group, to AA fire while strafing per Wilson.
For the whole period of 75 sdns first tour, sources SS=Senshi Sosho 18 translated excerpts, HI=Hata/Izawa JNAF book, W=Wilson
Kittyhawk air combat losses per W: 3/22 2; 3/26, 3/28, 4/6 2, 4/10, 4/11, 4/13, 4/17, 4/18, 4/24 3, 4/28 2: total 16
Kittyhawk claims: 15 Zeroes in air official, but only 12 mentioned case by case in W. 3 bombers, plus many of both types 'probable'/'damaged' plus ground claims.
Zero aerial losses to Kittyhawks: 3/22 (not in W); 4/5 (SS lost over Moresby but no pilot KIA in HI); 4/17 (SS, 1 pilot KIA in HI, 2 'a/c' lost per 25th Air Flotilla Diary per W), 4/28
Other Zero combat losses: 3/22 (to RAAF Hudson); 3/23 (to AA); 4/7 (to USAAF A-24 per W and pilot KIA, but not mentioned in SS).
2-5 lost to Kittyhawks. But as mentioned W's source for 3/22 seems the most original, 4/5 v 4/7 seems a possible date mixup, and one of the '2 a/c' 4/17 probably a non-fighter. So 5 is unlikely IMO, making the overclaim ratio probably >3:1. But that's not out of line for that theater and period. As we saw in 1943 over Darwin the ratio was around 6:1 (Spits credited with 33 Zeroes, v. 4 Zeroes and 1 Type 1 actually lost). In same general period as 75th Sdn in NG in 1942, USAAF 49th FG P-40's defended northern Australia and credited w/ 37 Zeroes, actually downing 10-11. So that's the ballpark to expect.
Joe