I had some similar issues when setting up the DITI, specifically regarding inconsistencies between the manual and what I was seeing in the DITI.
Unfortunately, this message board does not seem very active. And I don't know a better venue for asking basic questions.
I recommend finding a Windows machine and using the Visual Editor, which you can download from the DITI Downloads Page, to edit your kits. I've found editing via the tiny DITI screen to be time consuming, inefficient, and frustrating.
I've also found all the verbiage in the manual about "no need to train your triggers because we have a database" to be misleading at best. Eg, my ddrum piezo triggers are very common but there are no profiles. The manual says that if the database doesn't have a trigger profile, then you should use a standard piezo setting. But I couldn't for the life of me find any "standard piezo" setting among the options. Maybe you've had better luck since posting.
As much as I love the musical performance possibilities behind the DITI and JamKAT, it seems AM's support is subpar or at least informal. My day job is in research, so I'm used to working with tools that have little-to-no support. But if I didn't enjoy the parts about having to figure things out on my own, then DITI/JamKAT would not be worth the price (for me).
Also, you can probably safely ignore anything in the manual about the gigKAT (or "gigKA" in the DITI screen), because AM doesn't make those anymore. It's very strange (to me) that the DITI comes preloaded with preset kits for a module that you can no longer purchase.