Hello,
I think this might be a temporary issue with the game servers, otherwise I might have not reached the ideal "checkpoint", I don't know.
Anyway, on the very first mission, I reached the White House, but on three subsequent logins I've been sent at the beginning of the mission (outskirts of the white house). First time I reached the White House, I logged out *before* going upstairs and proceed with the plot.
Location at the log in screen says "White House".
Curiously enough, I have tried to replay the first mission twice, but I crashed both times after a minute or so.
I'll update if the problem resolves by itself (hence it might be a server issue, like I wrote above).
SOLVED
Yeah, I finally managed to run the mission again and simply arriving at the White House doesn't trigger the new location: you have to actually finish the first mission ("Dawn's Early light") by speaking with the NPC upstairs (Manny Ortega), and when you get your second mission the server records the fact that you actually have reached the White House so you're not sent back to the initial area in the subsequent login.