Heh, Stylsy is on the same wavelength as me... poor guy
For some reason, I seem to recall that there were 5 NX's planned (and I don't watch ENT much, so I could be totally wrong
, which made me think that it would be interesting if they were all named after Space Shuttles... of course, then you'd have to add an NX-06 Endeavour, and then slightly modify NX-07 and name it after the Russian space shuttle clone ("Snowflake" was the translation of its name, IIRC, but I can't recall the original Russian... what the hell ever happened to that POS, anyway?), but it would be fun anyway...
There's no particularly canon info on when exactly the "Earth/Romulan War" happened, although Mike Okuda's Chronology estimates the end of the war in 2160. This is largely based on the now-canon fact that the Federation was founded in 2161, so any "Earth" war would presumably have ended prior to that. Of course, this ignores the fact that, at the time "Balance of Terror" was written, there
was no "Federation," "Starfleet," or anything else, and Enterprise was presumed to be an "Earth" ship...
But admittedly that's a large can of worms to open. The impression I've always gotten was that the war was fairly long, but there's really nothing to back that up, I have to admit. Before ENT established that you could go from Earth to Qo'Nos in four days even at speeds of Warp 5 or less, one could think that the war might have lasted several years just to account for the travel time to get fleets into position, but of course that's out the window now...
As for the Romulan flag being raised over San Francisco, that's actually not entirely out of the question, considering that DS9 implied that the Romulans had actually attacked Earth during the war, contrary to all previous assumptions...