Kiranmayee

@John B.
Thank you. I took a video, but there was no option to upload it here. But I didn't notice the tail horn when I saw it live(it was camouflaged with the surroundings from the angle I observed it). Would have definitely taken another pic if I did. I noticed it in the pic only after I looked it up online. Will try to take pics from more angles from now. Thank you for the suggestion(since I'm still new to posting my observations here)

Looks like a nutcracker, but not sure if it is a Spotted nutcracker or Kashmir nutcracker

Juvenile House Sparrow? There's a light yellow gape at the base of the bill

I too think it is a Thick-billed green pigeon.. Beak looks like a young pigeon's..

Great pics.. But the tail and the whiskers near the beak look like a Drongo's.. Also the behaviour you described(acrobatics etc) point to a Drongo.. Could be Crow-billed Drongo, not sure, but definitely not a Crow or Koel..