QI bloom my hBP02-013〈Shirakami Fubuki〉with 2 mascots attached to hBP04-014〈Shirakami Fubuki〉.
In this case, which ability do I resolve first? Archive until I have 1 mascot left according to the rules, or the bloom effect "Come Back" of hBP04-014〈Shirakami Fubuki〉?

AArchive until you have 1 mascot left according to the rules, then resolve the bloom effect "Come Back".

QWhen hBP02-013〈Shirakami Fubuki〉 with hBP02-089〈Oruyanke〉 and hBP02-091〈Fubu-chun〉 attached collabs, between the abilities of hBP02-089〈Oruyanke〉 and hBP02-091〈Fubu-chun〉, which ability do I resolve first?

AAs both trigger "when collab", you may resolve them in any order.