Your father's outfit, the 1885th Engineer Aviation Battalion, was a non-divisional army unit.
This unit was activated at March Field, CA, 1 Apr 43; departed Seattle Port of Embarkation, 8 Jun 44; arrived Hawaii, 17 Jun 44; arvd. Guam, 25 Aug 44; arvd. Okinawa, 29 Jun 45; inactivated at Okinawa, 31 May 46. Location at war's end, 15 Aug 45, Okinawa.
Ryukyus, 26 Mar 45 / 2 Jul 45 Western Pacific, 15 Jun 44 / 2 Sep 45
Considering where he was engaged, I can imagine that the unit experienced casualties, but my reference does not list them.
I hope that your father is hanging in there. Please convey my best regards.
As for your uncle Edward, "unit unknown", you mention the Custer Division. This was the old 7th Cavalry Brigade.
The 1st Armored Division was derived from the 7th C/B, 15 Jul 40. The division fought three campaigns in North Africa, then moved on to the Italian campaigns.
In the time you mention as Edward's death date, the division was engaged in the Rome-Arno campaign, 14 Jan 44 / 9 Sep 44.
I don't see any indication that the 1st A/D was engaged in the Sicily campaign. It was involved in the Naples-Foggia and Anzio campaigns prior to his death, and North Apennines and Po Valley campaigns after his death.
This is my second attempt at discussing this with you. Sure hope that it gets thru.