Done with 37b6283, and I've added a bunch of other tools for Commons :)

It looks like QuickDelete just adds additional toolbox links to AjaxQuickDelete, but since they are listed separately in the gadget preferences, I'll treat them as separate tools.

Also, the edit summaries are super generic, which would normally cause AutoEdits to have false positives (e.g. if someone did these actions manually but used the same edit summary). However AjaxQuickDelete is a default-on gadget, so it would seem we could assume that in the vast majority of cases, the gadget is in fact being used.