QIf I evolve this follower with its Fanfare ability, can I evolve another follower using its evolve ability in the same turn?

AYes. Although you can only activate one evolve ability per turn, other abilities that evolve followers do not count towards this limit.

QCan I evolve this follower with its Fanfare ability if it is put onto the field by Lymaga, Forest Champion's Fanfare or On Evolve ability?

AYes, you can.

QCan I evolve this follower with its Fanfare ability if it is put onto the field by an ability during an opponent's turn?

AYes, you can.