N.W.
With super young kids I think the Ignore Technique works the best. If they start kicking and screaming, just ignore them until they stop. They're trying to create an effect by turning up the drama. If you ignore the drama, they'll stop. Just make sure they're not trying to hurt anyone or anything.
When they're trying to hit you, I've found it to be more effective block them from hitting you and instead of saying "no hit" or something (when they are young). I just grab their wrist, and put their hand back down. When they try again, I do it again, being calm and unaffected. They stop, because why do something that doesn't work? If you hit back...what are you telling your child? That it's OK for you to hit but not them?
When the kid is older and at the age of reason, you can explain why we don't hit, and follow with a consequence (like time-out).
The more you punish, the more you draw attention to the behavior. Besides, she's too young to understand reason. Next time she throws herself down, walk out of her sight (but keep an eye and ear open). She won't want to "perform" if there's no audience!
Good luck!