Obviously, Wolverine himself is the central character. But other X - Men members could be involved. Professor X might play a role as he could help Wolverine make sense of his newly recovered memories. He could use his telepathy to guide Wolverine through the maze of his past.
One interesting scenario could be Wolverine remembering his past relationships. He might suddenly recall an old love, like Jean Grey perhaps, and how they interacted before. This could lead to some complex emotional moments as he tries to reconcile his new self with the memories of his past feelings.
Wolverine lost his memory mainly because of various experiments and mind-altering procedures he was subjected to. Also, his constant battles and exposure to dangerous substances affected his brain.
Wolverine does get his adamantium back in specific comic storylines. This often occurs after intense battles and adventures that lead to his restoration of this key attribute.
In some comic storylines, Wolverine gets his adamantium back through complex and unexpected circumstances involving advanced technology or powerful allies.
Wolverine's claws can come back due to a combination of factors like his mutant abilities reaching a new peak or a scientific experiment gone right. Different comics offer different explanations for this.
In the comics, Wolverine's recovery of his adamantium was often tied to new story arcs and developments. It could involve uncovering hidden technology or facing off against villains with the means to restore it.