Bob has provided good insight into the elements of the 7th Armored Division. He always gives dependable information.
Assuming that your father went over with the division, I would like to add the following:
On 7 June 44, departed NY P/E aboard the QUEEN MARY, which carried 11,993 members of the 7th AD, plus a crew of 1,112.
It sailed alone, and arrived at Gourock, Scotland, 13 Jun 44
It arrived in France 11 Aug 44; crossed into Belgium 26 Sep 44; entered Holland 8 Oct 44; returned to Belgium 28 Dec 44, for the Battle of the Bulge; entered Germany 15 Mar 45; arrived Hampton Roads, VA P.E 9 Oct 45; inactivated Camp Patrick Henry, VA 9 Oct 45.
Northern France, Rhineland, Ardennes-Alsace (Bulge), Central Europe.
Killed in Action 898 Wounded in Action 3,811 Died from Wounds 200 Rate of casualties, 98% Entered combat, 14 Aug 44. Days in combat, 172
The division was at Dessau, Germay, at war's end, 7 May 45.
Two ships brought the division back to the states;
10 Oct 45, ANATOCH VICTORY 10 Oct 45, SS PACHANG VICTORY arriving Hampton Roads, 10 Oct 45.
Afootnote regarding the 38th AI BN :
Stanton indicates that the battalion arrived NY P/E 10-Oct 45. I don't see a manifest which would cover this arrival date in New York. If he did come via NY, then the ship references listed for the return of the 7th AD would not apply to his transit.