What weapons did the Germans use in the Mediterranean?

I've been reading "The Ministry of Ungentlemanly Warfare" by Damien Lewis and am really interested in the British Commando raids across the Aegean. Having a box of DAK lying around I thought I'd build them up and run a small island hopping campaign.

The DAK box is really lacking in arm options though. You can only really assemble 4 diffrent rifle configurations and 2 smg configurations. I have other German kits and am swimming in Panzer fausts and stg-44s. Would those have been used during Mediterranean fighting? It would have been late mid to late war. So I assume so but I'm not all the knowledgeable about armaments.

Thanks for any help!