Elia- Doing general good works and pr in the city, dodging her brother's idea of lessons as much as she can without getting dragged kicking and screaming by the men-at-arms, and needling Kaelyn Stark after the first month when her sympathy totally wore out.
Tyrith- Doing what Tyriths do best: plotting. Has been hiring pyromancers, has finished stocking the city guard with his people and added some extra extra guards to the castle.... Oh, and he's been talking with someone from Asshai...
Kyra- Snarking with Matthrew, missing Gareth, playing nice to husband and Oswald, and buttering up her father-in-law and planting some ideas about the Starks being untrustworthy now that Celia is gone.
Genna- Gwyn and her are off with the mummers and having a pretty good time of it once they got used to chores and actual work.
Jonath- guarding the royal family. Avoiding the queen like the plague. Waxing nostalgic about the good old days.
Polonius- Sending out lots and lots of messages and getting lots and lots of messages... And wouldn't you know it, some people just do not know when to stay dead...