Jasnah and Renarin won't be doing a lot in the coming book. We maybe see a bit about their orders, but they won't do too much because they aren't the main characters in these five books.
More Radiants will come to Urithiru, but the influx of numbers will cause internal arguments between the orders (and maybe individuals) because of the differences between their oaths.
The leaders of the Radients will learn about the true nature of the Cosmere, or at least the part that is of influence to their situation on Roshar.
The first five books will end with the Desolation being won, but Odium still in power. They will win through a fight between champions, but because of this weird manner of winning (and maybe a deal/trick with Odium to give them more time) the Desolation will continue/a new one will come in the next five books.