Your father was assigned to Company C, 38th Infantry Training Battalion while undergoing infantry training at Camp Croft (Company C, 38th Infantry Regiment - an element of 2d Infantry Division - was in Europe at that time).
In one of the photographs at your website (the close-up in service uniform), he's wearing the Glider Badge - indicating he underwent glider training and/or participated in a glider assault landing at some point during his service. This suggests he served with a glider unit in Europe.
The two ribbons under the Glider Badge represent the Good Conduct Medal and European-African-Middle Eastern Theater Medal. The badge below his ribbons is the Combat Infantryman Badge. The patch on the left side (his left) of his cap also indicates he was glider qualified and/or experienced.
1206th Quartermaster Company is probably the unit he was assigned to while being processed out of the service (this is the unit listed on his discharge certificate).