If you get a blueprint drop for a weapon you already posses you should see that you can upgrade/reforge your weapon. Whenever you reforge your weapon you can reallocate all points. If you get a blueprint and you cannot upgrade your weapon then it sounds like a bug.
"Advanced" blueprints are for "advanced" weapons. What they mean by "advanced" is rare weapons, like Rock and Roll, Smoking Daisy, Shit Happens, Granny, etc... the weapons that are denoted as rare by the fact they are yellow in the load out and character screen as opposed to "common" weapons that look gray. Normal blueprints are just for normal weapons. I think what you are thinking is that a single weapon has both advanced and normal.