During the AJ Prep School Debate Archer definitely said she was two at the time. That makes her at most six in the show's timeframe (or more likely five, the same age as Archer was when Malory sent him off, IIRC). That is waaaaay too young to send a kid off to boarding school, especially one in a different country. I cannot think of any quality of education that could make up for not being around loving parents at that age.
But then again, I've started to think that Lana is deliberately being set up as a Mallory-in-the-making. She wants Mallory's job, has dated the son Mallory is alarmingly close to (and honestly both relationships seem fairly similar. A lot of yelling), and now has found a reason to not raise her child herself like Mallory did.
Did anyone else catch the coma-references on the shelves in Hands' booby trap? Krieger even reads them off: a phaser, coconut radio, fedora, cursed idol, mysterious floating cube. Space, Danger Island, Dreamland, Danger Island, Space. And all of them are representative of something in Hands' life...WHAT IF SHE HAD SOMETHING TO DO WITH THE COMA. Like, maybe she experimented on Archer and directed his dreams? I hope it's not a massive clue that this season too is a coma, but I doubt the showrunners would try something like that.
Actually, maybe they would, if this season isn't successful. They could use it as an excuse to turn back the clock and say the coma was actually only a week long so all the characters would reset.