For Archer, he's going to be living with his brother for a month or two while he figures stuff out. His job will be babysitting his two nephews and trying to not be a robot. He'll probably stay in touch with Sam, perhaps work on his research full-time as a partner. Whether they remain physically close or simply keep correspondence is up for debate, but I doubt he'll lose contact. In ten years...it'd be nice to see him with a long-term girlfriend or something. Or at the very least, a close bromance. But it's also possible that he'll become a professional thief and just go off having badass spy adventures with his Thomas Marvel-type. Sipping martinis by the pool with their bling, awwww yeah.
Brian/Max...dude, I have NO idea. Brian will check himself into a mental hospital, but Max might bust out. Eventually when their condition goes on record, they might be relocated to a high-security facility where Brian can receive treatment while keeping Max contained. I don't really know if Max will ever be gotten rid of, but it'd be nice to see Brian rehabilitated enough that he can live without going insane. Eventually his family would find out, and though he'd want them to stay away, they'd help and support him. He'll probably be in touch with Sherri forever. I don't see him returning to the practice of dentistry, so he might get just a simple clerk's job or something and do things like babysit his nieces/nephews/great-nieces/grew-nephews/godchildren.
Joanie will be confused as hell in the aftermath of this, but slowly start to figure things out. She'll stay in touch with her friends from Bellum, getting random phone calls from Micah all the while. I think she'll keep going with her tattoo job, but her experiences with magic have gotten her interested in the way things work. After a few years of hemming and hawing, I can see her going back to school for mechanical engineering. Whatever she ends up doing, I think she has a real shot at finding happiness and maintaining it. And she gets to run interference between her boyfriend and bros, which will be so fun.
Gina quits everything and moves to Canada. The end.