Legally, you are correct, in many places but not all.
Morally, and logically, you are incorrect. Hell, your agreement with the first point completely invalidates what you have to say about the other two. Drunkenness doesn't remove responsibility for any other decision you make. If you drive, it's your fault. If you get in a fight and hurt/kill someone it's your fault. If you buy something off a stupid infomercial, you don't get your money back. So why do people insist on thinking that you are incapable of agreeing to sex. It's the single most illogical thing I've ever heard people say, and with all the stupid crap that people spout at the world, that's one fuck of an accomplishment.
Also, to claim that this is rape is degrading to all victims of real rape. To equate getting drunk and having sex in any way to having someone grab you in an alley and force you at gunpoint is like telling every single person who has ever been raped that what happened to them is no worse than having sex after a few shots. This is such an inconceivable leap of logic that no rational human being can support it.
To summarize, if you get drunk, have sex, and regret it. You might be able to get the other person charged with rape, but in no moral or logical examination did they rape you, and frankly you are a human being equivalent of pond scum, and I hope you get hit by a bus.