Company H was the weapons company of the regiment's 2d Battalion. His Military Occupational Specialty (MOS) appears in box number 30 of his separation papers. This will tell you what he was trained to do. His actual duties may well have been entirely different.
For information re EAME Theater Medal and campaign credits eligibility and General Orders (WD GO 33, 1945, etc.), see postings 611 and 714, this forum.