1) I think Jim's sitting on a roof at the academy staring at the sky, possibly the remaining light from Vulcan's star, but I remember he was grieving the loss of the planet, feeling like Vulcan was his home because Spock Prime passed too much of his emotion through the mind meld...or something along those lines.
2) Jim getting mentally haunted and taunted by Kirk Prime after the mind meld, with Kirk talking about the differences between the two ships and how the command crew deserve a better captain than nu!Jim...etc. I also remember Jim ending up unconscious in medbay and McCoy realizing there's a second brainwave frequency running alongside Jim's own. I'm not positive but I think they're forced to do another mind meld to help Jim.
I'm pretty sure both are Jim/Bones, because it's pretty much all I read, with only an occasional other 'ship, but they could be gen Fic with no real pairings or 'ships.
Thanks in advance for any help.
EDIT: Second one found of course, right after I requested it.
His Worst Nightmarehttps://archiveofourown.org/works/62650
EDIT 2: First found in comments.
Sing About Tragedyhttp://archiveofourown.org/works/22481