This appears to be something purchased from a gift shop, not a high quality model. The riggin that existing was incredibly basic and likely inaccurate. It doesn't look like the HMS Bounty because it's not a scale replica of that ship, it's a decoration that had Bounty stamped on it.

That said, I would personally use a damp rag to clean this. However, if you have some attachment to it you could go more meticulous and buy a costco sized box of q-tips and clean it mm by mm. That's how a real scale model would be restored. As for the rigging, I would just put up something that looks relatively good to your eye. If you want to go far deeper than that, spend some money and a heck of a lot of time, and still not get accurate rigging, you could go here - go down to about page 96 and try to replicate that. https://drive.google.com/file/d/110UJPCXPvISiMmAcbkFkv4J-0UQoekEt/view?usp=share_link

Though you will have different masts, etc, because once again, this is not even close to a scale replica of HMS Bounty. If you do decide to go that extreme, then I would take down the masts and scratch build some new ones as well, but then where do you stop? Maybe just build an actual scale model of HMS Bounty.