J.C.
When she hits, you need to grab her hands, hold them against her will, and tell her "NO HITTING" very sternly. Hold her hands for 5-10 seconds and then let them go.
Let her touch herself when she's potty training. You don't want to teach her early on that her privates are dirty or bad. Once she's older, if she were to still be doing it, which is very highly unlikely, then you can have a talk with her about how things like that are done in private.