First, I am SO sorry this happened to you! No one deserves this! It is YOUR body, it belongs to YOU & YOU ALONE! You decide who gets to touch it and who doesn't. Yes, it is rape. You didn't "freeze" because you were "too drunk to fight him off" IMO you froze because you went into shock and couldn't move because you couldn't believe what was happening. (That happens to some survivors...that doesn't diminish the trauma of the rape)
It's no excuse that he was too drunk. A lot of people get "too drunk". How many get too drunk, look across the room and think, "Hmmm....I'm going to go rape my friend because she won't remember anyway." I know the immediate feelings of guilt and I wish I could tell you how to stop feeling them because you honestly and truly did nothing wrong AT ALL. NOTHING! If you need to talk, I'm here.