I do think in order to prevent Korra from acting on her own just to find out what's going on, Lin will want to try to include Korra more though Lin is still having a hard time taking Korra seriously since she did recently eavesdrop. But still, Lin would rather have Korra feel included and important than have Korra making matters worse and tense for everyone else. I'm sure it would be encouraged to have Korra join the sort of task force, if to just assure the press/media that she's helping handle things too, it's not like they know she's a bit stunted with her bending right?

With Bolin, he won't want to risk his job by disclosing information to Korra. He doesn't want to get in the middle of Lin and Korra, that's for sure. After all, he and Korra are just starting to get past her horrible horrible actions. XD I'd think Korra would respect that Mako and Bolin can't speak about certain matters when on the job. Though it could be interesting if Korra and Asami could vent about feeling a little useless giving the situation (though Asami still hasn't mentioned her newly acquired bending yet...which would raise some questions).