I generally use my ipad (latest iOS) to do everything except watch the race. So far the only thing I've noticed is the information buttons (i) don't show any information when you hover over them like they do on a laptop.
I'm aware of this behaviour on iOS. I'm not totally sure why it does it yet and will need to test on an iPad again soon. When the apps are out you'll be able to run the races on the iPad too. :)
Playing the whole game on a tablet is something I personally can't wait for, as I mostly game on a tablet these days with a baby and all sorts of time constraints. That will definitely be a very satisfying moment!