QIf I play this follower as my fourth card this turn, and then play two more cards, can I recover 2 play points with this follower's non-Fanfare ability?

ANo, you can't. The condition of the number of cards played this turn is independent of this follower's ability. Since this follower wasn't on the field when you played your third card this turn, you can no longer recover 2 play points with this follower's non-Fanfare ability this turn.

QIf I have this follower and a Fairy on my field, and I play Nature's Guidance as my fifth card this turn to return this follower to my hand, will this follower's ability still trigger and give the Fairy +1/+1?

AYes, it will. If you trigger the ability of a card, it will resolve regardless of the location of the card. Since both Nature's Guidance's effect and this follower's ability are triggered when you play Nature's Guidance, this follower's ability will resolve despite being returned to your hand.

QIf I play this follower as my fourth card this turn, and then play a Fairy, will this follower's ability still trigger and give each follower on my field +1/+1?

AYes, it will. The condition of the number of cards played this turn is independent of this follower's ability. Since this follower was on the field when you played your fifth card this turn, its ability will trigger and give each follower on your field +1/+1.

QIf I play this follower as my first card this turn, play Hina Araki as my second card, then evolve Hina Araki to play Angelic Maid from my cemetery, does Angelic Maid trigger this follower's ability?

AYes, it does. The ability text of Hina Araki states that you play the selected spell from the cemetery for 0 cost, which satisfies the condition of this follower's ability.

QIf I play a follower as my fifth card this turn, will it also gain +1/+1?

AYes, it will. Playing a follower requires it to be put onto the field. Since the follower has to be put onto the field before this follower's ability can trigger, it also gains +1/+1.

QDoes evolving a follower count as playing a card?

ANo, it doesn't. Although you are putting another card onto the field, evolution does not count as playing a card.

QIf I play this follower as my third card this turn, does its non-Fanfare ability trigger?

ANo, it doesn't. Unless otherwise stated, cards have to be on the field before their abilities can come into effect. Therefore, although its Fanfare ability will trigger, its other ability will not.