I have no idea what those two ring terminals are for.
As for the 2-pin connector, no, it doesn't not connect to CN3. A 12-pin connector will go there, not a 2-pin one. You will blow the PSU if you do that.
EDIT: I just checked the PSU in my Astro City. The 12-pin female header on CN3 is unused on mine. As for the 2-pin connector, I don't know where it's supposed to go to. But it is for AC. It doesn't leave a whole lot of options.