I don’t know about renaming, but at least “delete current file” is customizable under the Hotkeys menu. (Because the file explorer doesn’t take keyboard focus, you can’t really set “delete” as a hotkey—that’s deleting things in the currently selected file.)
eta: And “Edit file title” is in there too—set by default to F2, it seems. It may not look like it’s renaming because it would happen in the title bar, not in the file explorer list. I sympathize, because it feels like weird file explorer behavior to me as well, but the keyboard shortcuts do work.