Fenix,
The links you found don't relate to the "82nd Fighter Group" in Italy. They come up because they match "some" of the search terms but all not in the correct order.
This one
http://airforcehistoryindex.org/data/000/080/690.xml
comes up because it has "0082" and "Fighter" in the text, but is is for the "0082 Fighter Squadron" . The word "Group" matches to the 0078 Fighter GROUP.
Similar problems with the others you listed, i.e., some are for SERVICE GROUPs not Fighter Groups.