If I equip one of the GB fusions with GB Battle archfiend shield or another GB equip card, if I chose to tag out with the GB fusion, will the equip card still go to my hand or will it not becuz it goes to the fusion deck and not the regular deck?

it'll most definately go to your hand, cuz fusion deck is still part of your deck... its not your "main" deck. but still a deck.

like if someone raiza's a fusion it goes to fusion deck.