Welcome pauli62, fellow cubber!
Assuming that your band and drum are ok and the adjuster end of the cable is secure, you may need a cable. I have had some luck modifying modern go-kart brake cables to work on the Tricub. If you’re using a modern, replacement brake lever assembly that takes a ⅜” barrel end on the cable, these cables can be made to work fine. On my recently restored Minicub (same brake components as Tricub), I ended up getting a custom cable made because I wanted to use the original brake lever which takes a ¼” barrel end. There are some cables available with ¼” barrel, but these are usually for throttle applications have smaller diameter braided wire and I didn’t want to shortcut on the brake cable… not that the Minicub is capable of any high speeds or anything.
If you need a need drum or band, the problem is that originals are 3¾” diam and these components are not readily available. I haven’t needed to upgrade to the more common 4” on my cubs yet, but I assume that this can be done without too much effort. I haven’t looked in a while, but my earlier search didn’t reveal any 4” drums for ⅝” jackshaft, so to make this conversion there will likely be some custom fabrication required anyway.
Is this the Tricub that was listed on Chicago-area CL recently?