Virat Kohli and his captaincy is too early to judge. Obviously when it was Dhoni as the captain, Indian management shuffled a lot of captains on the B side sending tours like Raina, Rahane & Gambhir. Kohli came into this beastly form and everyone assumed he will be our captain. To be very honest what I saw of Rahane in that one off test match was impressive. Again we need to give Kohli some time. Virat Kohli as captain has score 1426 runs in 29 matches with 5 100's and an average of 71. He is equally impressive as captain in test matches with 26 matches 2399 runs at 59.97 runs average. So stats favor him, as far as thinking mind goes, I would say wait till this away season and then I will judge him
Surely his stats during this time have no effect on his captaincy. Undoubtedly, he is a beast and has dominated all formats as a player for the last 3-4 years. But that has nothing to do with his captaincy. He seems a little over-aggressive and far too emotional as a captain. As a player, you can attribute that to the passion for the game but as a captain, you'd expect a more relaxed and calculated individual - e.g. Dhoni.
Obviously, it is a little stupid to draw the comparison to him and Dhoni as they're two completely different individuals but under Dhoni, India seems a more unified XI on the pitch compared to the panic that can arise during pressure stages of Kohli captaincy. Maybe, you can attribute that to the experience of Dhoni and the better game presence of being a wicket keeper. (I mean even in the 2009T20 WC he had his head screwed on and was probably the key determinant in the final win).
It's important to remember that during stages of Dhoni's captaincy, the bowling department was a little shocking (e.g. Mohit Sharma) and the death bowling was a little bit of a joke, yet he always remained cool and managed his troops well, something that I feel Kohli lacks or will most likely develop in later series.
One thing I find a little weird is when he captains, he puts way to much pressure on himself. He wants to field at long off or long on and that is too far away from the bowler at the end of the game. The majority of Indian fielders are very good and he doesn't need to put himself so far out the game by standing on the boundary.
Coming back to the Yuvi issue, sentimental selection won't win you games. I really want him to retire so that he can leave the game with dignity rather than become one of those players that are dropped and then retires from domestic cricket. He is not the fielder he once was, nor the bowler and definitely not the batsman. Playing longer might just lose him more supporters than he deserves.