So, six months after the cure the Navy only has operational 3 ships? I'm guessing they have many ships at various navy docks, but no the manpower to operate them. Would be good to get a Carrier operational as soon as they can.
AFAIK, carriers' nuclear reactors have to be expertly maintained at all times, so unless one was properly cared for during the outbreak, which is highly doubtful, the existing carriers are probably permanently off-limits. Now, they could probably get an
LHA running, but there's a significant anti-carrier movement in the real-life Navy, with certain experts saying we have plenty of allies with airfields, and carriers are too massive for quick or stealthy operations, and are uniquely vulnerable (they have to travel in strike groups with smaller, armed ships as is) for the amount of resources we pour into them. So no, in terms of the show, getting a carrier operational would be far, far down the Navy's to-do list, particularly as they'd probably have to complete construction of one of the new in-progress ones to do so.
And I believe they've said the Navy has three other ships besides the James patrolling Asia in general, not sure about worldwide. At this point, though, it's probably fair to ask why they haven't all met up, or at the very least made plans to do so. (Besides the show budget, that is.)
When they first introduced the douchebag reporter, he called her "Miss Greene" to which she corrected him saying it was "Mrs. Greene." I don't think any of the other presidential staff have identified her as anything prior to the last episode.
Quite, well, there we go. If she's not currently on active duty, and her White House job is considered a civilian posting, she wouldn't ask a reporter to call her by her rank.