The only Axis jets in Italy were three Ar 234 of Kommando Sommer, which you can read about on my website:
http://ghostbombers.com/recon/234/Sommer/kdo_s_1.html
If you want to read about those other combats, can I suggest you look online for a copy of "Air War Italy 1944-45: The Axis Air Forces from the Liberation of Rome to the Surrender" by Nick Beale, Ferdinando D'Amico & Gabriele Valentini (Airlife, 1996) ISBN 1 85310 252 0?