It doesn't seem like Elizabeth has much in the way of starting combos. A lot of her moves are very slow and have long recovery, so the moment you fight someone who knows how to punish, a combo that starts with D.Garu won't be easy to pull off. I start most combos the standard way, jB, 5B, 2C, maybe a sweep if they aren't blocking low. The guy I mainly fight against uses Mitsuru, so anything that can be punished is punished.