I’m sorry that the iPad manual isn’t fully up to date at the moment. I am of course aware and will get it updated as soon as possible; although realistically, it will take a little while as there is also remaining work to do for large sections of the desktop manual as well.
For showing verse numbers, did you follow the first step, which is to select a lyric? The Properties panel is dynamic in that the properties available depend on what you have currently selected. And is the Properties panel selected in the lower zone (e.g. as opposed to the Keyboard panel)?