Under the heading 76th Infantry Division, Shelby L. Stanton's "WW II Order of Battle" lists the three campaigns you originally referenced, and no others, so I suspect that this was his unit.
Check the lower portion of his discharge, where if says "Departed USA/Returned to USA", or something to that effect. Hopefully, his dates will match the following.
Departed Boston P/E, 10 Dec 44; arrived England, 20 Dec 44; moved to France-ETO, 12 Jan 45; crossed into Belgium, 23 Jan 45; into Luxembourg, 25 Jan 45; entered Germany, 1 Mar 45; where disbanded, 31 Aug 45.
Location at war's end, 15 Aug 45, Limbach, Germany.
I can secure information on 10th Infantry Regiment (5th ID), but won't bother until you have a chance to see if the above information relates to the profile you haveon him. OK ?