Yes. But you had best hit it in the head and use a heavy pellet (Pellets come in different weights). Also use hunting (Hollow point ) pellets. Be repaired to give it a second shot as the kill shot.
I doubt it.
Yes:
Yes.......
Both can kill you.
yes
Yes but it may be unlawful.
no it is extremely unlikely that is possible
Rodents and small birds
Yes. But I suggest using hunting pellets.
Rodents and small game.
Yes it is possible.
Definitely Yes it can.