QI summon a Golden Beast Tamer and Nitro Juggler with Silver Thorn Dragon Tamer, Luquier's Fanfare ability. If I banish a Pale Moon follower that costs 2 or less with Nitro Juggler's Fanfare ability, can I summon it with Golden Beast Tamer's Fanfare ability?

AYes. Since Golden Beast Tamer's Fanfare ability and Nitro Juggler's Fanfare ability trigger and become pending at the same time, you may resolve them in any order.

If you resolve Nitro Juggler's Fanfare ability first and banish a Pale Moon follower that costs 2 or less, that follower will be in your banished zone when you resolve Golden Beast Tamer's Fanfare ability, allowing it to be summoned.

QIf I have 5 cards in my banished zone, and I summon a Mistress Hurricane and Nitro Juggler with Silver Thorn Dragon Tamer, Luquier's Fanfare ability, can I give Mistress Hurricane Storm?

AYes. Since both Mistress Hurricane's Fanfare ability and Nitro Juggler's Fanfare ability trigger and become pending at the same time, you may resolve them in any order.

Although you only have 3 cards in your banished zone, you can banish 2 more cards by resolving Nitro Juggler's Fanfare ability first, allowing you to fulfill the condition for Mistress Hurricane's Fanfare ability.