Is this the "second stage" of grief?

Since my father ped, of course I was naturally sad. I still am incredibly sad, but now I'm starting to feel angry with him. I'm angry that he didn't take care of his health. I'm angry that instead of eating healthily like all of us kept asking him to, he chose instead to keep eating junk. I feel angry that the doctors couldn't fix his heart before going into cardiac arrest. I'm angry that I can't talk to him anymore. I'm angry that I'm so sad and feeling so "weak" for feeling this way. It's like I'm angry at the world. This isn't like the other deaths. The other ones I was like a mindless robot. This one it's like I'm fully aware of everything, but fully helpless and unable to "block" these feelings. How many stages of grief are there and do people typically go through them in order or is it varied?